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Finding the Fourth Proportional to 178,010.31, 245,654.04 and 97,437.11

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Solution

The fourth proportional to 178,010.31, 245,654.04 and 97,437.11 is: 134,463.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,010.31 : 245,654.04 = 97,437.11 : x
  2. Step 2: Convert to fraction form
    178,010.31/245,654.04 = 97,437.11/x
  3. Step 3: Cross multiply
    178,010.31x = 245,654.04 × 97,437.11
  4. Step 4: Simplify right side
    178,010.31x = 23,935,819,717.42
  5. Step 5: Solve for x
    x = 23,935,819,717.42/178,010.31
  6. Step 6: Final answer
    x = 134,463.11

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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.