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Finding the Fourth Proportional to 117,786.62, 176,681.37 and 65,298.62

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Solution

The fourth proportional to 117,786.62, 176,681.37 and 65,298.62 is: 97,948.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,786.62 : 176,681.37 = 65,298.62 : x
  2. Step 2: Convert to fraction form
    117,786.62/176,681.37 = 65,298.62/x
  3. Step 3: Cross multiply
    117,786.62x = 176,681.37 × 65,298.62
  4. Step 4: Simplify right side
    117,786.62x = 11,537,049,640.71
  5. Step 5: Solve for x
    x = 11,537,049,640.71/117,786.62
  6. Step 6: Final answer
    x = 97,948.73

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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.