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Finding the Fourth Proportional to 138,022.42, 190,565.37 and 105,700.02

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Solution

The fourth proportional to 138,022.42, 190,565.37 and 105,700.02 is: 145,938.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,022.42 : 190,565.37 = 105,700.02 : x
  2. Step 2: Convert to fraction form
    138,022.42/190,565.37 = 105,700.02/x
  3. Step 3: Cross multiply
    138,022.42x = 190,565.37 × 105,700.02
  4. Step 4: Simplify right side
    138,022.42x = 20,142,762,377.86
  5. Step 5: Solve for x
    x = 20,142,762,377.86/138,022.42
  6. Step 6: Final answer
    x = 145,938.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.