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Finding the Fourth Proportional to 142,051.10, 212,930.85 and 82,856.30

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Solution

The fourth proportional to 142,051.10, 212,930.85 and 82,856.30 is: 124,199.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,051.10 : 212,930.85 = 82,856.30 : x
  2. Step 2: Convert to fraction form
    142,051.10/212,930.85 = 82,856.30/x
  3. Step 3: Cross multiply
    142,051.10x = 212,930.85 × 82,856.30
  4. Step 4: Simplify right side
    142,051.10x = 17,642,662,386.86
  5. Step 5: Solve for x
    x = 17,642,662,386.86/142,051.10
  6. Step 6: Final answer
    x = 124,199.41

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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.