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Finding the Fourth Proportional to 102,262.20, 153,393.30 and 97,801.40

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Solution

The fourth proportional to 102,262.20, 153,393.30 and 97,801.40 is: 146,702.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,262.20 : 153,393.30 = 97,801.40 : x
  2. Step 2: Convert to fraction form
    102,262.20/153,393.30 = 97,801.40/x
  3. Step 3: Cross multiply
    102,262.20x = 153,393.30 × 97,801.40
  4. Step 4: Simplify right side
    102,262.20x = 15,002,079,490.62
  5. Step 5: Solve for x
    x = 15,002,079,490.62/102,262.20
  6. Step 6: Final answer
    x = 146,702.10

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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.