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Finding the Fourth Proportional to 231,637.32, 346,867.92 and 194,098.68

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Solution

The fourth proportional to 231,637.32, 346,867.92 and 194,098.68 is: 290,655.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,637.32 : 346,867.92 = 194,098.68 : x
  2. Step 2: Convert to fraction form
    231,637.32/346,867.92 = 194,098.68/x
  3. Step 3: Cross multiply
    231,637.32x = 346,867.92 × 194,098.68
  4. Step 4: Simplify right side
    231,637.32x = 67,326,605,406.35
  5. Step 5: Solve for x
    x = 67,326,605,406.35/231,637.32
  6. Step 6: Final answer
    x = 290,655.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.