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Finding the Fourth Proportional to 185,414.86, 255,778.32 and 117,317.08

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Solution

The fourth proportional to 185,414.86, 255,778.32 and 117,317.08 is: 161,837.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,414.86 : 255,778.32 = 117,317.08 : x
  2. Step 2: Convert to fraction form
    185,414.86/255,778.32 = 117,317.08/x
  3. Step 3: Cross multiply
    185,414.86x = 255,778.32 × 117,317.08
  4. Step 4: Simplify right side
    185,414.86x = 30,007,165,629.71
  5. Step 5: Solve for x
    x = 30,007,165,629.71/185,414.86
  6. Step 6: Final answer
    x = 161,837.98

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1.5x scale

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.