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Finding the Fourth Proportional to 152,614.40, 228,943.20 and 47,422.40

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Solution

The fourth proportional to 152,614.40, 228,943.20 and 47,422.40 is: 71,140.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,614.40 : 228,943.20 = 47,422.40 : x
  2. Step 2: Convert to fraction form
    152,614.40/228,943.20 = 47,422.40/x
  3. Step 3: Cross multiply
    152,614.40x = 228,943.20 × 47,422.40
  4. Step 4: Simplify right side
    152,614.40x = 10,857,036,007.68
  5. Step 5: Solve for x
    x = 10,857,036,007.68/152,614.40
  6. Step 6: Final answer
    x = 71,140.31

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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.