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Finding the Fourth Proportional to 191,933.12, 287,987.16 and 98,504.48

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Solution

The fourth proportional to 191,933.12, 287,987.16 and 98,504.48 is: 147,801.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,933.12 : 287,987.16 = 98,504.48 : x
  2. Step 2: Convert to fraction form
    191,933.12/287,987.16 = 98,504.48/x
  3. Step 3: Cross multiply
    191,933.12x = 287,987.16 × 98,504.48
  4. Step 4: Simplify right side
    191,933.12x = 28,368,025,442.48
  5. Step 5: Solve for x
    x = 28,368,025,442.48/191,933.12
  6. Step 6: Final answer
    x = 147,801.62

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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.