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Finding the Fourth Proportional to 265,091.63, 365,823.60 and 157,659.30

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Solution

The fourth proportional to 265,091.63, 365,823.60 and 157,659.30 is: 217,568.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,091.63 : 365,823.60 = 157,659.30 : x
  2. Step 2: Convert to fraction form
    265,091.63/365,823.60 = 157,659.30/x
  3. Step 3: Cross multiply
    265,091.63x = 365,823.60 × 157,659.30
  4. Step 4: Simplify right side
    265,091.63x = 57,675,492,699.48
  5. Step 5: Solve for x
    x = 57,675,492,699.48/265,091.63
  6. Step 6: Final answer
    x = 217,568.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.