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Finding the Fourth Proportional to 134,898.81, 186,098.68 and 78,277.38

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Solution

The fourth proportional to 134,898.81, 186,098.68 and 78,277.38 is: 107,986.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,898.81 : 186,098.68 = 78,277.38 : x
  2. Step 2: Convert to fraction form
    134,898.81/186,098.68 = 78,277.38/x
  3. Step 3: Cross multiply
    134,898.81x = 186,098.68 × 78,277.38
  4. Step 4: Simplify right side
    134,898.81x = 14,567,317,091.86
  5. Step 5: Solve for x
    x = 14,567,317,091.86/134,898.81
  6. Step 6: Final answer
    x = 107,986.99

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Why These Related Problems?

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