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Finding the Fourth Proportional to 191,807.20, 287,710.80 and 98,495.20

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Solution

The fourth proportional to 191,807.20, 287,710.80 and 98,495.20 is: 147,742.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,807.20 : 287,710.80 = 98,495.20 : x
  2. Step 2: Convert to fraction form
    191,807.20/287,710.80 = 98,495.20/x
  3. Step 3: Cross multiply
    191,807.20x = 287,710.80 × 98,495.20
  4. Step 4: Simplify right side
    191,807.20x = 28,338,132,788.16
  5. Step 5: Solve for x
    x = 28,338,132,788.16/191,807.20
  6. Step 6: Final answer
    x = 147,742.80

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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.