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Finding the Fourth Proportional to 241,077.76, 361,780.02 and 98,948.68

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Solution

The fourth proportional to 241,077.76, 361,780.02 and 98,948.68 is: 148,490.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,077.76 : 361,780.02 = 98,948.68 : x
  2. Step 2: Convert to fraction form
    241,077.76/361,780.02 = 98,948.68/x
  3. Step 3: Cross multiply
    241,077.76x = 361,780.02 × 98,948.68
  4. Step 4: Simplify right side
    241,077.76x = 35,797,655,429.37
  5. Step 5: Solve for x
    x = 35,797,655,429.37/241,077.76
  6. Step 6: Final answer
    x = 148,490.08

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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.