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Finding the Fourth Proportional to 191,597.60, 287,253.12 and 132,263.84

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Solution

The fourth proportional to 191,597.60, 287,253.12 and 132,263.84 is: 198,296.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,597.60 : 287,253.12 = 132,263.84 : x
  2. Step 2: Convert to fraction form
    191,597.60/287,253.12 = 132,263.84/x
  3. Step 3: Cross multiply
    191,597.60x = 287,253.12 × 132,263.84
  4. Step 4: Simplify right side
    191,597.60x = 37,993,200,703.18
  5. Step 5: Solve for x
    x = 37,993,200,703.18/191,597.60
  6. Step 6: Final answer
    x = 198,296.85

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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.