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Finding the Fourth Proportional to 176,156.74, 243,276.51 and 164,871.82

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Solution

The fourth proportional to 176,156.74, 243,276.51 and 164,871.82 is: 227,691.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,156.74 : 243,276.51 = 164,871.82 : x
  2. Step 2: Convert to fraction form
    176,156.74/243,276.51 = 164,871.82/x
  3. Step 3: Cross multiply
    176,156.74x = 243,276.51 × 164,871.82
  4. Step 4: Simplify right side
    176,156.74x = 40,109,440,966.95
  5. Step 5: Solve for x
    x = 40,109,440,966.95/176,156.74
  6. Step 6: Final answer
    x = 227,691.78

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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.