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Finding the Fourth Proportional to 191,214.97, 286,781.45 and 78,866.04

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Solution

The fourth proportional to 191,214.97, 286,781.45 and 78,866.04 is: 118,282.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,214.97 : 286,781.45 = 78,866.04 : x
  2. Step 2: Convert to fraction form
    191,214.97/286,781.45 = 78,866.04/x
  3. Step 3: Cross multiply
    191,214.97x = 286,781.45 × 78,866.04
  4. Step 4: Simplify right side
    191,214.97x = 22,617,317,988.06
  5. Step 5: Solve for x
    x = 22,617,317,988.06/191,214.97
  6. Step 6: Final answer
    x = 118,282.15

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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.