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Finding the Fourth Proportional to 125,308.16, 187,968.60 and 36,568.40

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Solution

The fourth proportional to 125,308.16, 187,968.60 and 36,568.40 is: 54,854.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,308.16 : 187,968.60 = 36,568.40 : x
  2. Step 2: Convert to fraction form
    125,308.16/187,968.60 = 36,568.40/x
  3. Step 3: Cross multiply
    125,308.16x = 187,968.60 × 36,568.40
  4. Step 4: Simplify right side
    125,308.16x = 6,873,710,952.24
  5. Step 5: Solve for x
    x = 6,873,710,952.24/125,308.16
  6. Step 6: Final answer
    x = 54,854.46

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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.