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Finding the Fourth Proportional to 191,569.20, 287,353.80 and 74,833.20

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Solution

The fourth proportional to 191,569.20, 287,353.80 and 74,833.20 is: 112,249.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,569.20 : 287,353.80 = 74,833.20 : x
  2. Step 2: Convert to fraction form
    191,569.20/287,353.80 = 74,833.20/x
  3. Step 3: Cross multiply
    191,569.20x = 287,353.80 × 74,833.20
  4. Step 4: Simplify right side
    191,569.20x = 21,503,604,386.16
  5. Step 5: Solve for x
    x = 21,503,604,386.16/191,569.20
  6. Step 6: Final answer
    x = 112,249.80

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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.