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Finding the Fourth Proportional to 106,426.52, 146,869.62 and 58,681.76

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Solution

The fourth proportional to 106,426.52, 146,869.62 and 58,681.76 is: 80,981.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,426.52 : 146,869.62 = 58,681.76 : x
  2. Step 2: Convert to fraction form
    106,426.52/146,869.62 = 58,681.76/x
  3. Step 3: Cross multiply
    106,426.52x = 146,869.62 × 58,681.76
  4. Step 4: Simplify right side
    106,426.52x = 8,618,567,792.13
  5. Step 5: Solve for x
    x = 8,618,567,792.13/106,426.52
  6. Step 6: Final answer
    x = 80,981.39

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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.