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Finding the Fourth Proportional to 142,710.60, 214,065.90 and 83,515.80

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Solution

The fourth proportional to 142,710.60, 214,065.90 and 83,515.80 is: 125,273.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,710.60 : 214,065.90 = 83,515.80 : x
  2. Step 2: Convert to fraction form
    142,710.60/214,065.90 = 83,515.80/x
  3. Step 3: Cross multiply
    142,710.60x = 214,065.90 × 83,515.80
  4. Step 4: Simplify right side
    142,710.60x = 17,877,884,891.22
  5. Step 5: Solve for x
    x = 17,877,884,891.22/142,710.60
  6. Step 6: Final answer
    x = 125,273.70

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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.