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Finding the Fourth Proportional to 190,965.12, 286,349.28 and 85,693.86

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Solution

The fourth proportional to 190,965.12, 286,349.28 and 85,693.86 is: 128,496.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,965.12 : 286,349.28 = 85,693.86 : x
  2. Step 2: Convert to fraction form
    190,965.12/286,349.28 = 85,693.86/x
  3. Step 3: Cross multiply
    190,965.12x = 286,349.28 × 85,693.86
  4. Step 4: Simplify right side
    190,965.12x = 24,538,375,111.42
  5. Step 5: Solve for x
    x = 24,538,375,111.42/190,965.12
  6. Step 6: Final answer
    x = 128,496.63

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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.