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Finding the Fourth Proportional to 177,842.84, 245,422.85 and 106,264.76

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Solution

The fourth proportional to 177,842.84, 245,422.85 and 106,264.76 is: 146,645.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,842.84 : 245,422.85 = 106,264.76 : x
  2. Step 2: Convert to fraction form
    177,842.84/245,422.85 = 106,264.76/x
  3. Step 3: Cross multiply
    177,842.84x = 245,422.85 × 106,264.76
  4. Step 4: Simplify right side
    177,842.84x = 26,079,798,495.33
  5. Step 5: Solve for x
    x = 26,079,798,495.33/177,842.84
  6. Step 6: Final answer
    x = 146,645.20

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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.