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Finding the Fourth Proportional to 153,023.70, 229,311.45 and 137,228.70

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Solution

The fourth proportional to 153,023.70, 229,311.45 and 137,228.70 is: 205,642.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,023.70 : 229,311.45 = 137,228.70 : x
  2. Step 2: Convert to fraction form
    153,023.70/229,311.45 = 137,228.70/x
  3. Step 3: Cross multiply
    153,023.70x = 229,311.45 × 137,228.70
  4. Step 4: Simplify right side
    153,023.70x = 31,468,112,178.62
  5. Step 5: Solve for x
    x = 31,468,112,178.62/153,023.70
  6. Step 6: Final answer
    x = 205,642.08

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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.