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Finding the Fourth Proportional to 157,321.76, 235,985.04 and 57,502.16

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Solution

The fourth proportional to 157,321.76, 235,985.04 and 57,502.16 is: 86,254.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,321.76 : 235,985.04 = 57,502.16 : x
  2. Step 2: Convert to fraction form
    157,321.76/235,985.04 = 57,502.16/x
  3. Step 3: Cross multiply
    157,321.76x = 235,985.04 × 57,502.16
  4. Step 4: Simplify right side
    157,321.76x = 13,569,649,527.69
  5. Step 5: Solve for x
    x = 13,569,649,527.69/157,321.76
  6. Step 6: Final answer
    x = 86,254.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.