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Finding the Fourth Proportional to 100,842.23, 151,228.08 and 29,746.01

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Solution

The fourth proportional to 100,842.23, 151,228.08 and 29,746.01 is: 44,608.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,842.23 : 151,228.08 = 29,746.01 : x
  2. Step 2: Convert to fraction form
    100,842.23/151,228.08 = 29,746.01/x
  3. Step 3: Cross multiply
    100,842.23x = 151,228.08 × 29,746.01
  4. Step 4: Simplify right side
    100,842.23x = 4,498,432,358.03
  5. Step 5: Solve for x
    x = 4,498,432,358.03/100,842.23
  6. Step 6: Final answer
    x = 44,608.62

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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.