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Finding the Fourth Proportional to 148,832.85, 205,270.56 and 97,897.89

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Solution

The fourth proportional to 148,832.85, 205,270.56 and 97,897.89 is: 135,020.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,832.85 : 205,270.56 = 97,897.89 : x
  2. Step 2: Convert to fraction form
    148,832.85/205,270.56 = 97,897.89/x
  3. Step 3: Cross multiply
    148,832.85x = 205,270.56 × 97,897.89
  4. Step 4: Simplify right side
    148,832.85x = 20,095,554,703.12
  5. Step 5: Solve for x
    x = 20,095,554,703.12/148,832.85
  6. Step 6: Final answer
    x = 135,020.96

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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.