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Finding the Fourth Proportional to 191,098.81, 286,682.69 and 78,717.70

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Solution

The fourth proportional to 191,098.81, 286,682.69 and 78,717.70 is: 118,090.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,098.81 : 286,682.69 = 78,717.70 : x
  2. Step 2: Convert to fraction form
    191,098.81/286,682.69 = 78,717.70/x
  3. Step 3: Cross multiply
    191,098.81x = 286,682.69 × 78,717.70
  4. Step 4: Simplify right side
    191,098.81x = 22,567,001,986.61
  5. Step 5: Solve for x
    x = 22,567,001,986.61/191,098.81
  6. Step 6: Final answer
    x = 118,090.75

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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.