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Finding the Fourth Proportional to 178,065.62, 245,721.22 and 97,477.70

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Solution

The fourth proportional to 178,065.62, 245,721.22 and 97,477.70 is: 134,514.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,065.62 : 245,721.22 = 97,477.70 : x
  2. Step 2: Convert to fraction form
    178,065.62/245,721.22 = 97,477.70/x
  3. Step 3: Cross multiply
    178,065.62x = 245,721.22 × 97,477.70
  4. Step 4: Simplify right side
    178,065.62x = 23,952,339,366.79
  5. Step 5: Solve for x
    x = 23,952,339,366.79/178,065.62
  6. Step 6: Final answer
    x = 134,514.12

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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.