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Finding the Fourth Proportional to 152,915.96, 229,373.94 and 47,743.94

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Solution

The fourth proportional to 152,915.96, 229,373.94 and 47,743.94 is: 71,615.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,915.96 : 229,373.94 = 47,743.94 : x
  2. Step 2: Convert to fraction form
    152,915.96/229,373.94 = 47,743.94/x
  3. Step 3: Cross multiply
    152,915.96x = 229,373.94 × 47,743.94
  4. Step 4: Simplify right side
    152,915.96x = 10,951,214,482.05
  5. Step 5: Solve for x
    x = 10,951,214,482.05/152,915.96
  6. Step 6: Final answer
    x = 71,615.90

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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.