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Finding the Fourth Proportional to 265,107, 365,850.54 and 145,875

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Solution

The fourth proportional to 265,107, 365,850.54 and 145,875 is: 201,309.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,107 : 365,850.54 = 145,875 : x
  2. Step 2: Convert to fraction form
    265,107/365,850.54 = 145,875/x
  3. Step 3: Cross multiply
    265,107x = 365,850.54 × 145,875
  4. Step 4: Simplify right side
    265,107x = 53,368,447,522.50
  5. Step 5: Solve for x
    x = 53,368,447,522.50/265,107
  6. Step 6: Final answer
    x = 201,309.08

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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.