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Finding the Fourth Proportional to 177,013.95, 265,484.01 and 64,747.05

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Solution

The fourth proportional to 177,013.95, 265,484.01 and 64,747.05 is: 97,107.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,013.95 : 265,484.01 = 64,747.05 : x
  2. Step 2: Convert to fraction form
    177,013.95/265,484.01 = 64,747.05/x
  3. Step 3: Cross multiply
    177,013.95x = 265,484.01 × 64,747.05
  4. Step 4: Simplify right side
    177,013.95x = 17,189,306,469.67
  5. Step 5: Solve for x
    x = 17,189,306,469.67/177,013.95
  6. Step 6: Final answer
    x = 97,107.07

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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.