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Finding the Fourth Proportional to 78,114.46, 117,101.53 and 28,182.82

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Solution

The fourth proportional to 78,114.46, 117,101.53 and 28,182.82 is: 42,248.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,114.46 : 117,101.53 = 28,182.82 : x
  2. Step 2: Convert to fraction form
    78,114.46/117,101.53 = 28,182.82/x
  3. Step 3: Cross multiply
    78,114.46x = 117,101.53 × 28,182.82
  4. Step 4: Simplify right side
    78,114.46x = 3,300,251,341.71
  5. Step 5: Solve for x
    x = 3,300,251,341.71/78,114.46
  6. Step 6: Final answer
    x = 42,248.92

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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.