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Finding the Fourth Proportional to 177,578.64, 245,064.41 and 97,013.65

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Solution

The fourth proportional to 177,578.64, 245,064.41 and 97,013.65 is: 133,882.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,578.64 : 245,064.41 = 97,013.65 : x
  2. Step 2: Convert to fraction form
    177,578.64/245,064.41 = 97,013.65/x
  3. Step 3: Cross multiply
    177,578.64x = 245,064.41 × 97,013.65
  4. Step 4: Simplify right side
    177,578.64x = 23,774,592,899.20
  5. Step 5: Solve for x
    x = 23,774,592,899.20/177,578.64
  6. Step 6: Final answer
    x = 133,882.05

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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.