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Finding the Fourth Proportional to 106,098.76, 146,367.06 and 63,583.48

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Solution

The fourth proportional to 106,098.76, 146,367.06 and 63,583.48 is: 87,715.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,098.76 : 146,367.06 = 63,583.48 : x
  2. Step 2: Convert to fraction form
    106,098.76/146,367.06 = 63,583.48/x
  3. Step 3: Cross multiply
    106,098.76x = 146,367.06 × 63,583.48
  4. Step 4: Simplify right side
    106,098.76x = 9,306,527,032.17
  5. Step 5: Solve for x
    x = 9,306,527,032.17/106,098.76
  6. Step 6: Final answer
    x = 87,715.70

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1.5x scale

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.