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Finding the Fourth Proportional to 151,722.96, 209,287.36 and 98,039.52

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Solution

The fourth proportional to 151,722.96, 209,287.36 and 98,039.52 is: 135,236.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,722.96 : 209,287.36 = 98,039.52 : x
  2. Step 2: Convert to fraction form
    151,722.96/209,287.36 = 98,039.52/x
  3. Step 3: Cross multiply
    151,722.96x = 209,287.36 × 98,039.52
  4. Step 4: Simplify right side
    151,722.96x = 20,518,432,316.47
  5. Step 5: Solve for x
    x = 20,518,432,316.47/151,722.96
  6. Step 6: Final answer
    x = 135,236.17

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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.