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Finding the Fourth Proportional to 152,402.56, 228,605.04 and 47,220.88

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Solution

The fourth proportional to 152,402.56, 228,605.04 and 47,220.88 is: 70,831.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,402.56 : 228,605.04 = 47,220.88 : x
  2. Step 2: Convert to fraction form
    152,402.56/228,605.04 = 47,220.88/x
  3. Step 3: Cross multiply
    152,402.56x = 228,605.04 × 47,220.88
  4. Step 4: Simplify right side
    152,402.56x = 10,794,931,161.24
  5. Step 5: Solve for x
    x = 10,794,931,161.24/152,402.56
  6. Step 6: Final answer
    x = 70,831.69

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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.