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Finding the Fourth Proportional to 359,187.50, 538,783.96 and 159,454.20

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Solution

The fourth proportional to 359,187.50, 538,783.96 and 159,454.20 is: 239,182.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,187.50 : 538,783.96 = 159,454.20 : x
  2. Step 2: Convert to fraction form
    359,187.50/538,783.96 = 159,454.20/x
  3. Step 3: Cross multiply
    359,187.50x = 538,783.96 × 159,454.20
  4. Step 4: Simplify right side
    359,187.50x = 85,911,365,314.63
  5. Step 5: Solve for x
    x = 85,911,365,314.63/359,187.50
  6. Step 6: Final answer
    x = 239,182.50

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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.