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Finding the Fourth Proportional to 265,083.81, 365,812.68 and 157,655.64

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Solution

The fourth proportional to 265,083.81, 365,812.68 and 157,655.64 is: 217,563.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,083.81 : 365,812.68 = 157,655.64 : x
  2. Step 2: Convert to fraction form
    265,083.81/365,812.68 = 157,655.64/x
  3. Step 3: Cross multiply
    265,083.81x = 365,812.68 × 157,655.64
  4. Step 4: Simplify right side
    265,083.81x = 57,672,432,185.52
  5. Step 5: Solve for x
    x = 57,672,432,185.52/265,083.81
  6. Step 6: Final answer
    x = 217,563.01

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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.