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Finding the Fourth Proportional to 191,808.30, 287,821.80 and 132,686.40

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Solution

The fourth proportional to 191,808.30, 287,821.80 and 132,686.40 is: 199,105.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,808.30 : 287,821.80 = 132,686.40 : x
  2. Step 2: Convert to fraction form
    191,808.30/287,821.80 = 132,686.40/x
  3. Step 3: Cross multiply
    191,808.30x = 287,821.80 × 132,686.40
  4. Step 4: Simplify right side
    191,808.30x = 38,190,038,483.52
  5. Step 5: Solve for x
    x = 38,190,038,483.52/191,808.30
  6. Step 6: Final answer
    x = 199,105.24

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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.