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Finding the Fourth Proportional to 153,380.30, 230,077.65 and 48,202.70

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Solution

The fourth proportional to 153,380.30, 230,077.65 and 48,202.70 is: 72,306.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,380.30 : 230,077.65 = 48,202.70 : x
  2. Step 2: Convert to fraction form
    153,380.30/230,077.65 = 48,202.70/x
  3. Step 3: Cross multiply
    153,380.30x = 230,077.65 × 48,202.70
  4. Step 4: Simplify right side
    153,380.30x = 11,090,363,939.66
  5. Step 5: Solve for x
    x = 11,090,363,939.66/153,380.30
  6. Step 6: Final answer
    x = 72,306.31

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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.