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Finding the Fourth Proportional to 102,000.81, 153,027.17 and 59,916.48

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Solution

The fourth proportional to 102,000.81, 153,027.17 and 59,916.48 is: 89,889.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,000.81 : 153,027.17 = 59,916.48 : x
  2. Step 2: Convert to fraction form
    102,000.81/153,027.17 = 59,916.48/x
  3. Step 3: Cross multiply
    102,000.81x = 153,027.17 × 59,916.48
  4. Step 4: Simplify right side
    102,000.81x = 9,168,849,370.76
  5. Step 5: Solve for x
    x = 9,168,849,370.76/102,000.81
  6. Step 6: Final answer
    x = 89,889.97

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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.