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Finding the Fourth Proportional to 153,926.49, 230,873.49 and 72,854.10

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Solution

The fourth proportional to 153,926.49, 230,873.49 and 72,854.10 is: 109,273.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,926.49 : 230,873.49 = 72,854.10 : x
  2. Step 2: Convert to fraction form
    153,926.49/230,873.49 = 72,854.10/x
  3. Step 3: Cross multiply
    153,926.49x = 230,873.49 × 72,854.10
  4. Step 4: Simplify right side
    153,926.49x = 16,820,080,327.81
  5. Step 5: Solve for x
    x = 16,820,080,327.81/153,926.49
  6. Step 6: Final answer
    x = 109,273.46

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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.