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Finding the Fourth Proportional to 381,819.60, 572,729.40 and 101,365.20

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Solution

The fourth proportional to 381,819.60, 572,729.40 and 101,365.20 is: 152,047.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,819.60 : 572,729.40 = 101,365.20 : x
  2. Step 2: Convert to fraction form
    381,819.60/572,729.40 = 101,365.20/x
  3. Step 3: Cross multiply
    381,819.60x = 572,729.40 × 101,365.20
  4. Step 4: Simplify right side
    381,819.60x = 58,054,830,176.88
  5. Step 5: Solve for x
    x = 58,054,830,176.88/381,819.60
  6. Step 6: Final answer
    x = 152,047.80

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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.