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Finding the Fourth Proportional to 191,406.40, 287,109.60 and 132,357.40

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Solution

The fourth proportional to 191,406.40, 287,109.60 and 132,357.40 is: 198,536.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,406.40 : 287,109.60 = 132,357.40 : x
  2. Step 2: Convert to fraction form
    191,406.40/287,109.60 = 132,357.40/x
  3. Step 3: Cross multiply
    191,406.40x = 287,109.60 × 132,357.40
  4. Step 4: Simplify right side
    191,406.40x = 38,001,080,171.04
  5. Step 5: Solve for x
    x = 38,001,080,171.04/191,406.40
  6. Step 6: Final answer
    x = 198,536.10

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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.