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Finding the Fourth Proportional to 178,186.79, 245,897.71 and 97,614.20

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Solution

The fourth proportional to 178,186.79, 245,897.71 and 97,614.20 is: 134,707.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,186.79 : 245,897.71 = 97,614.20 : x
  2. Step 2: Convert to fraction form
    178,186.79/245,897.71 = 97,614.20/x
  3. Step 3: Cross multiply
    178,186.79x = 245,897.71 × 97,614.20
  4. Step 4: Simplify right side
    178,186.79x = 24,003,108,614.19
  5. Step 5: Solve for x
    x = 24,003,108,614.19/178,186.79
  6. Step 6: Final answer
    x = 134,707.56

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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.