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Finding the Fourth Proportional to 178,248.72, 245,982.42 and 97,676.04

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Solution

The fourth proportional to 178,248.72, 245,982.42 and 97,676.04 is: 134,792.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,248.72 : 245,982.42 = 97,676.04 : x
  2. Step 2: Convert to fraction form
    178,248.72/245,982.42 = 97,676.04/x
  3. Step 3: Cross multiply
    178,248.72x = 245,982.42 × 97,676.04
  4. Step 4: Simplify right side
    178,248.72x = 24,026,588,695.22
  5. Step 5: Solve for x
    x = 24,026,588,695.22/178,248.72
  6. Step 6: Final answer
    x = 134,792.49

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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.