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Finding the Fourth Proportional to 102,185.20, 153,214.56 and 42,990.40

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Solution

The fourth proportional to 102,185.20, 153,214.56 and 42,990.40 is: 64,458.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,185.20 : 153,214.56 = 42,990.40 : x
  2. Step 2: Convert to fraction form
    102,185.20/153,214.56 = 42,990.40/x
  3. Step 3: Cross multiply
    102,185.20x = 153,214.56 × 42,990.40
  4. Step 4: Simplify right side
    102,185.20x = 6,586,755,220.22
  5. Step 5: Solve for x
    x = 6,586,755,220.22/102,185.20
  6. Step 6: Final answer
    x = 64,458.99

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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.