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Finding the Fourth Proportional to 153,064.96, 229,601.52 and 47,883.92

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Solution

The fourth proportional to 153,064.96, 229,601.52 and 47,883.92 is: 71,827.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,064.96 : 229,601.52 = 47,883.92 : x
  2. Step 2: Convert to fraction form
    153,064.96/229,601.52 = 47,883.92/x
  3. Step 3: Cross multiply
    153,064.96x = 229,601.52 × 47,883.92
  4. Step 4: Simplify right side
    153,064.96x = 10,994,220,815.56
  5. Step 5: Solve for x
    x = 10,994,220,815.56/153,064.96
  6. Step 6: Final answer
    x = 71,827.16

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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.