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Finding the Fourth Proportional to 152,915.02, 229,372.54 and 47,743.00

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Solution

The fourth proportional to 152,915.02, 229,372.54 and 47,743.00 is: 71,614.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,915.02 : 229,372.54 = 47,743.00 : x
  2. Step 2: Convert to fraction form
    152,915.02/229,372.54 = 47,743.00/x
  3. Step 3: Cross multiply
    152,915.02x = 229,372.54 × 47,743.00
  4. Step 4: Simplify right side
    152,915.02x = 10,950,932,484.43
  5. Step 5: Solve for x
    x = 10,950,932,484.43/152,915.02
  6. Step 6: Final answer
    x = 71,614.50

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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.