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Finding the Fourth Proportional to 152,541.92, 228,841.76 and 57,800.48

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Solution

The fourth proportional to 152,541.92, 228,841.76 and 57,800.48 is: 86,711.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,541.92 : 228,841.76 = 57,800.48 : x
  2. Step 2: Convert to fraction form
    152,541.92/228,841.76 = 57,800.48/x
  3. Step 3: Cross multiply
    152,541.92x = 228,841.76 × 57,800.48
  4. Step 4: Simplify right side
    152,541.92x = 13,227,163,572.04
  5. Step 5: Solve for x
    x = 13,227,163,572.04/152,541.92
  6. Step 6: Final answer
    x = 86,711.66

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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.