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Finding the Fourth Proportional to 199,856.75, 275,802.36 and 110,432.75

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Solution

The fourth proportional to 199,856.75, 275,802.36 and 110,432.75 is: 152,397.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,856.75 : 275,802.36 = 110,432.75 : x
  2. Step 2: Convert to fraction form
    199,856.75/275,802.36 = 110,432.75/x
  3. Step 3: Cross multiply
    199,856.75x = 275,802.36 × 110,432.75
  4. Step 4: Simplify right side
    199,856.75x = 30,457,613,071.29
  5. Step 5: Solve for x
    x = 30,457,613,071.29/199,856.75
  6. Step 6: Final answer
    x = 152,397.22

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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.