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Finding the Fourth Proportional to 157,302, 235,895.49 and 57,432.65

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Solution

The fourth proportional to 157,302, 235,895.49 and 57,432.65 is: 86,127.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,302 : 235,895.49 = 57,432.65 : x
  2. Step 2: Convert to fraction form
    157,302/235,895.49 = 57,432.65/x
  3. Step 3: Cross multiply
    157,302x = 235,895.49 × 57,432.65
  4. Step 4: Simplify right side
    157,302x = 13,548,101,934.27
  5. Step 5: Solve for x
    x = 13,548,101,934.27/157,302
  6. Step 6: Final answer
    x = 86,127.97

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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.