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Finding the Fourth Proportional to 106,766.70, 147,336.03 and 59,019.02

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Solution

The fourth proportional to 106,766.70, 147,336.03 and 59,019.02 is: 81,445.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,766.70 : 147,336.03 = 59,019.02 : x
  2. Step 2: Convert to fraction form
    106,766.70/147,336.03 = 59,019.02/x
  3. Step 3: Cross multiply
    106,766.70x = 147,336.03 × 59,019.02
  4. Step 4: Simplify right side
    106,766.70x = 8,695,628,101.29
  5. Step 5: Solve for x
    x = 8,695,628,101.29/106,766.70
  6. Step 6: Final answer
    x = 81,445.13

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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.