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Finding the Fourth Proportional to 278,445.68, 417,668.04 and 100,952.40

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Solution

The fourth proportional to 278,445.68, 417,668.04 and 100,952.40 is: 151,428.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,445.68 : 417,668.04 = 100,952.40 : x
  2. Step 2: Convert to fraction form
    278,445.68/417,668.04 = 100,952.40/x
  3. Step 3: Cross multiply
    278,445.68x = 417,668.04 × 100,952.40
  4. Step 4: Simplify right side
    278,445.68x = 42,164,591,041.30
  5. Step 5: Solve for x
    x = 42,164,591,041.30/278,445.68
  6. Step 6: Final answer
    x = 151,428.43

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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.