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Finding the Fourth Proportional to 142,726.60, 214,122.30 and 83,531.80

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Solution

The fourth proportional to 142,726.60, 214,122.30 and 83,531.80 is: 125,316.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,726.60 : 214,122.30 = 83,531.80 : x
  2. Step 2: Convert to fraction form
    142,726.60/214,122.30 = 83,531.80/x
  3. Step 3: Cross multiply
    142,726.60x = 214,122.30 × 83,531.80
  4. Step 4: Simplify right side
    142,726.60x = 17,886,021,139.14
  5. Step 5: Solve for x
    x = 17,886,021,139.14/142,726.60
  6. Step 6: Final answer
    x = 125,316.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.