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Finding the Fourth Proportional to 132,851.80, 199,316.52 and 42,892.40

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Solution

The fourth proportional to 132,851.80, 199,316.52 and 42,892.40 is: 64,351.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,851.80 : 199,316.52 = 42,892.40 : x
  2. Step 2: Convert to fraction form
    132,851.80/199,316.52 = 42,892.40/x
  3. Step 3: Cross multiply
    132,851.80x = 199,316.52 × 42,892.40
  4. Step 4: Simplify right side
    132,851.80x = 8,549,163,902.45
  5. Step 5: Solve for x
    x = 8,549,163,902.45/132,851.80
  6. Step 6: Final answer
    x = 64,351.13

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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.