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Finding the Fourth Proportional to 102,189.46, 153,315.40 and 52,304.90

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Solution

The fourth proportional to 102,189.46, 153,315.40 and 52,304.90 is: 78,473.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,189.46 : 153,315.40 = 52,304.90 : x
  2. Step 2: Convert to fraction form
    102,189.46/153,315.40 = 52,304.90/x
  3. Step 3: Cross multiply
    102,189.46x = 153,315.40 × 52,304.90
  4. Step 4: Simplify right side
    102,189.46x = 8,019,146,665.46
  5. Step 5: Solve for x
    x = 8,019,146,665.46/102,189.46
  6. Step 6: Final answer
    x = 78,473.32

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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.