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Finding the Fourth Proportional to 274,841.79, 412,186.14 and 97,301.13

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Solution

The fourth proportional to 274,841.79, 412,186.14 and 97,301.13 is: 145,924.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,841.79 : 412,186.14 = 97,301.13 : x
  2. Step 2: Convert to fraction form
    274,841.79/412,186.14 = 97,301.13/x
  3. Step 3: Cross multiply
    274,841.79x = 412,186.14 × 97,301.13
  4. Step 4: Simplify right side
    274,841.79x = 40,106,177,192.34
  5. Step 5: Solve for x
    x = 40,106,177,192.34/274,841.79
  6. Step 6: Final answer
    x = 145,924.60

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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.