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Finding the Fourth Proportional to 106,211.88, 146,572.40 and 58,465

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Solution

The fourth proportional to 106,211.88, 146,572.40 and 58,465 is: 80,681.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,211.88 : 146,572.40 = 58,465 : x
  2. Step 2: Convert to fraction form
    106,211.88/146,572.40 = 58,465/x
  3. Step 3: Cross multiply
    106,211.88x = 146,572.40 × 58,465
  4. Step 4: Simplify right side
    106,211.88x = 8,569,355,366
  5. Step 5: Solve for x
    x = 8,569,355,366/106,211.88
  6. Step 6: Final answer
    x = 80,681.70

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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.