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Finding the Fourth Proportional to 153,200.70, 229,801.32 and 48,027.87

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Solution

The fourth proportional to 153,200.70, 229,801.32 and 48,027.87 is: 72,041.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,200.70 : 229,801.32 = 48,027.87 : x
  2. Step 2: Convert to fraction form
    153,200.70/229,801.32 = 48,027.87/x
  3. Step 3: Cross multiply
    153,200.70x = 229,801.32 × 48,027.87
  4. Step 4: Simplify right side
    153,200.70x = 11,036,867,922.79
  5. Step 5: Solve for x
    x = 11,036,867,922.79/153,200.70
  6. Step 6: Final answer
    x = 72,041.89

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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.