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Finding the Fourth Proportional to 157,040.38, 216,754.21 and 89,097.12

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Solution

The fourth proportional to 157,040.38, 216,754.21 and 89,097.12 is: 122,975.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,040.38 : 216,754.21 = 89,097.12 : x
  2. Step 2: Convert to fraction form
    157,040.38/216,754.21 = 89,097.12/x
  3. Step 3: Cross multiply
    157,040.38x = 216,754.21 × 89,097.12
  4. Step 4: Simplify right side
    157,040.38x = 19,312,176,623.50
  5. Step 5: Solve for x
    x = 19,312,176,623.50/157,040.38
  6. Step 6: Final answer
    x = 122,975.87

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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.