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Finding the Fourth Proportional to 195,411.40, 293,214.30 and 77,086.60

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Solution

The fourth proportional to 195,411.40, 293,214.30 and 77,086.60 is: 115,668.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,411.40 : 293,214.30 = 77,086.60 : x
  2. Step 2: Convert to fraction form
    195,411.40/293,214.30 = 77,086.60/x
  3. Step 3: Cross multiply
    195,411.40x = 293,214.30 × 77,086.60
  4. Step 4: Simplify right side
    195,411.40x = 22,602,893,458.38
  5. Step 5: Solve for x
    x = 22,602,893,458.38/195,411.40
  6. Step 6: Final answer
    x = 115,668.24

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