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Finding the Fourth Proportional to 98,767, 136,298.46 and 54,055

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Solution

The fourth proportional to 98,767, 136,298.46 and 54,055 is: 74,595.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,767 : 136,298.46 = 54,055 : x
  2. Step 2: Convert to fraction form
    98,767/136,298.46 = 54,055/x
  3. Step 3: Cross multiply
    98,767x = 136,298.46 × 54,055
  4. Step 4: Simplify right side
    98,767x = 7,367,613,255.30
  5. Step 5: Solve for x
    x = 7,367,613,255.30/98,767
  6. Step 6: Final answer
    x = 74,595.90

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Why These Related Problems?

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