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Finding the Fourth Proportional to 191,830.80, 287,357.40 and 108,627.60

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Solution

The fourth proportional to 191,830.80, 287,357.40 and 108,627.60 is: 162,721.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,830.80 : 287,357.40 = 108,627.60 : x
  2. Step 2: Convert to fraction form
    191,830.80/287,357.40 = 108,627.60/x
  3. Step 3: Cross multiply
    191,830.80x = 287,357.40 × 108,627.60
  4. Step 4: Simplify right side
    191,830.80x = 31,214,944,704.24
  5. Step 5: Solve for x
    x = 31,214,944,704.24/191,830.80
  6. Step 6: Final answer
    x = 162,721.24

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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.