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Finding the Fourth Proportional to 142,780.60, 213,966.10 and 105,046.20

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Solution

The fourth proportional to 142,780.60, 213,966.10 and 105,046.20 is: 157,418.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,780.60 : 213,966.10 = 105,046.20 : x
  2. Step 2: Convert to fraction form
    142,780.60/213,966.10 = 105,046.20/x
  3. Step 3: Cross multiply
    142,780.60x = 213,966.10 × 105,046.20
  4. Step 4: Simplify right side
    142,780.60x = 22,476,325,733.82
  5. Step 5: Solve for x
    x = 22,476,325,733.82/142,780.60
  6. Step 6: Final answer
    x = 157,418.63

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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.