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Finding the Fourth Proportional to 179,748, 248,052.24 and 100,260

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Solution

The fourth proportional to 179,748, 248,052.24 and 100,260 is: 138,358.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,748 : 248,052.24 = 100,260 : x
  2. Step 2: Convert to fraction form
    179,748/248,052.24 = 100,260/x
  3. Step 3: Cross multiply
    179,748x = 248,052.24 × 100,260
  4. Step 4: Simplify right side
    179,748x = 24,869,717,582.40
  5. Step 5: Solve for x
    x = 24,869,717,582.40/179,748
  6. Step 6: Final answer
    x = 138,358.80

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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.