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Finding the Fourth Proportional to 178,151.78, 245,849.52 and 97,580.66

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Solution

The fourth proportional to 178,151.78, 245,849.52 and 97,580.66 is: 134,661.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,151.78 : 245,849.52 = 97,580.66 : x
  2. Step 2: Convert to fraction form
    178,151.78/245,849.52 = 97,580.66/x
  3. Step 3: Cross multiply
    178,151.78x = 245,849.52 × 97,580.66
  4. Step 4: Simplify right side
    178,151.78x = 23,990,158,422.28
  5. Step 5: Solve for x
    x = 23,990,158,422.28/178,151.78
  6. Step 6: Final answer
    x = 134,661.35

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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.