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Finding the Fourth Proportional to 200,023.80, 299,987.70 and 115,601.40

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Solution

The fourth proportional to 200,023.80, 299,987.70 and 115,601.40 is: 173,374.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,023.80 : 299,987.70 = 115,601.40 : x
  2. Step 2: Convert to fraction form
    200,023.80/299,987.70 = 115,601.40/x
  3. Step 3: Cross multiply
    200,023.80x = 299,987.70 × 115,601.40
  4. Step 4: Simplify right side
    200,023.80x = 34,678,998,102.78
  5. Step 5: Solve for x
    x = 34,678,998,102.78/200,023.80
  6. Step 6: Final answer
    x = 173,374.36

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1.5x scale

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.