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Finding the Fourth Proportional to 199,152.01, 298,565.88 and 92,603.08

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Solution

The fourth proportional to 199,152.01, 298,565.88 and 92,603.08 is: 138,829.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,152.01 : 298,565.88 = 92,603.08 : x
  2. Step 2: Convert to fraction form
    199,152.01/298,565.88 = 92,603.08/x
  3. Step 3: Cross multiply
    199,152.01x = 298,565.88 × 92,603.08
  4. Step 4: Simplify right side
    199,152.01x = 27,648,120,070.91
  5. Step 5: Solve for x
    x = 27,648,120,070.91/199,152.01
  6. Step 6: Final answer
    x = 138,829.23

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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.