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Finding the Fourth Proportional to 142,417.60, 213,658.80 and 83,222.80

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Solution

The fourth proportional to 142,417.60, 213,658.80 and 83,222.80 is: 124,853.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,417.60 : 213,658.80 = 83,222.80 : x
  2. Step 2: Convert to fraction form
    142,417.60/213,658.80 = 83,222.80/x
  3. Step 3: Cross multiply
    142,417.60x = 213,658.80 × 83,222.80
  4. Step 4: Simplify right side
    142,417.60x = 17,781,283,580.64
  5. Step 5: Solve for x
    x = 17,781,283,580.64/142,417.60
  6. Step 6: Final answer
    x = 124,853.13

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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.