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Finding the Fourth Proportional to 102,638.30, 153,925.45 and 40,327.90

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Solution

The fourth proportional to 102,638.30, 153,925.45 and 40,327.90 is: 60,479.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,638.30 : 153,925.45 = 40,327.90 : x
  2. Step 2: Convert to fraction form
    102,638.30/153,925.45 = 40,327.90/x
  3. Step 3: Cross multiply
    102,638.30x = 153,925.45 × 40,327.90
  4. Step 4: Simplify right side
    102,638.30x = 6,207,490,155.06
  5. Step 5: Solve for x
    x = 6,207,490,155.06/102,638.30
  6. Step 6: Final answer
    x = 60,479.28

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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.