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Finding the Fourth Proportional to 178,096.76, 266,721.12 and 103,058.72

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Solution

The fourth proportional to 178,096.76, 266,721.12 and 103,058.72 is: 154,342.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,096.76 : 266,721.12 = 103,058.72 : x
  2. Step 2: Convert to fraction form
    178,096.76/266,721.12 = 103,058.72/x
  3. Step 3: Cross multiply
    178,096.76x = 266,721.12 × 103,058.72
  4. Step 4: Simplify right side
    178,096.76x = 27,487,937,224.17
  5. Step 5: Solve for x
    x = 27,487,937,224.17/178,096.76
  6. Step 6: Final answer
    x = 154,342.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.