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Finding the Fourth Proportional to 153,887.60, 230,773.80 and 54,009.20

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Solution

The fourth proportional to 153,887.60, 230,773.80 and 54,009.20 is: 80,993.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,887.60 : 230,773.80 = 54,009.20 : x
  2. Step 2: Convert to fraction form
    153,887.60/230,773.80 = 54,009.20/x
  3. Step 3: Cross multiply
    153,887.60x = 230,773.80 × 54,009.20
  4. Step 4: Simplify right side
    153,887.60x = 12,463,908,318.96
  5. Step 5: Solve for x
    x = 12,463,908,318.96/153,887.60
  6. Step 6: Final answer
    x = 80,993.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.