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Finding the Fourth Proportional to 210,008.64, 289,766.88 and 125,153.76

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Solution

The fourth proportional to 210,008.64, 289,766.88 and 125,153.76 is: 172,685.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,008.64 : 289,766.88 = 125,153.76 : x
  2. Step 2: Convert to fraction form
    210,008.64/289,766.88 = 125,153.76/x
  3. Step 3: Cross multiply
    210,008.64x = 289,766.88 × 125,153.76
  4. Step 4: Simplify right side
    210,008.64x = 36,265,414,555.47
  5. Step 5: Solve for x
    x = 36,265,414,555.47/210,008.64
  6. Step 6: Final answer
    x = 172,685.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.