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Finding the Fourth Proportional to 142,526.70, 213,703.65 and 71,366.58

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Solution

The fourth proportional to 142,526.70, 213,703.65 and 71,366.58 is: 107,006.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,526.70 : 213,703.65 = 71,366.58 : x
  2. Step 2: Convert to fraction form
    142,526.70/213,703.65 = 71,366.58/x
  3. Step 3: Cross multiply
    142,526.70x = 213,703.65 × 71,366.58
  4. Step 4: Simplify right side
    142,526.70x = 15,251,298,634.02
  5. Step 5: Solve for x
    x = 15,251,298,634.02/142,526.70
  6. Step 6: Final answer
    x = 107,006.61

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1.5x scale

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.