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Finding the Fourth Proportional to 178,065.99, 245,721.72 and 97,478.10

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Solution

The fourth proportional to 178,065.99, 245,721.72 and 97,478.10 is: 134,514.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,065.99 : 245,721.72 = 97,478.10 : x
  2. Step 2: Convert to fraction form
    178,065.99/245,721.72 = 97,478.10/x
  3. Step 3: Cross multiply
    178,065.99x = 245,721.72 × 97,478.10
  4. Step 4: Simplify right side
    178,065.99x = 23,952,486,394.33
  5. Step 5: Solve for x
    x = 23,952,486,394.33/178,065.99
  6. Step 6: Final answer
    x = 134,514.66

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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.