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Finding the Fourth Proportional to 145,184.52, 217,807.56 and 51,690

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Solution

The fourth proportional to 145,184.52, 217,807.56 and 51,690 is: 77,545.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,184.52 : 217,807.56 = 51,690 : x
  2. Step 2: Convert to fraction form
    145,184.52/217,807.56 = 51,690/x
  3. Step 3: Cross multiply
    145,184.52x = 217,807.56 × 51,690
  4. Step 4: Simplify right side
    145,184.52x = 11,258,472,776.40
  5. Step 5: Solve for x
    x = 11,258,472,776.40/145,184.52
  6. Step 6: Final answer
    x = 77,545.96

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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.