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Finding the Fourth Proportional to 175,217, 241,842.66 and 99,809.96

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Solution

The fourth proportional to 175,217, 241,842.66 and 99,809.96 is: 137,762.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,217 : 241,842.66 = 99,809.96 : x
  2. Step 2: Convert to fraction form
    175,217/241,842.66 = 99,809.96/x
  3. Step 3: Cross multiply
    175,217x = 241,842.66 × 99,809.96
  4. Step 4: Simplify right side
    175,217x = 24,138,306,220.89
  5. Step 5: Solve for x
    x = 24,138,306,220.89/175,217
  6. Step 6: Final answer
    x = 137,762.35

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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.