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Finding the Fourth Proportional to 102,532.16, 141,520.16 and 57,846.08

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Solution

The fourth proportional to 102,532.16, 141,520.16 and 57,846.08 is: 79,842.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,532.16 : 141,520.16 = 57,846.08 : x
  2. Step 2: Convert to fraction form
    102,532.16/141,520.16 = 57,846.08/x
  3. Step 3: Cross multiply
    102,532.16x = 141,520.16 × 57,846.08
  4. Step 4: Simplify right side
    102,532.16x = 8,186,386,496.97
  5. Step 5: Solve for x
    x = 8,186,386,496.97/102,532.16
  6. Step 6: Final answer
    x = 79,842.13

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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.