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Finding the Fourth Proportional to 234,021.76, 350,714.46 and 98,973.52

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Solution

The fourth proportional to 234,021.76, 350,714.46 and 98,973.52 is: 148,325.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,021.76 : 350,714.46 = 98,973.52 : x
  2. Step 2: Convert to fraction form
    234,021.76/350,714.46 = 98,973.52/x
  3. Step 3: Cross multiply
    234,021.76x = 350,714.46 × 98,973.52
  4. Step 4: Simplify right side
    234,021.76x = 34,711,444,621.10
  5. Step 5: Solve for x
    x = 34,711,444,621.10/234,021.76
  6. Step 6: Final answer
    x = 148,325.71

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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.