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Finding the Fourth Proportional to 231,071.95, 318,708.70 and 146,107

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Solution

The fourth proportional to 231,071.95, 318,708.70 and 146,107 is: 201,519.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,071.95 : 318,708.70 = 146,107 : x
  2. Step 2: Convert to fraction form
    231,071.95/318,708.70 = 146,107/x
  3. Step 3: Cross multiply
    231,071.95x = 318,708.70 × 146,107
  4. Step 4: Simplify right side
    231,071.95x = 46,565,572,030.90
  5. Step 5: Solve for x
    x = 46,565,572,030.90/231,071.95
  6. Step 6: Final answer
    x = 201,519.80

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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.