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Finding the Fourth Proportional to 117,708.70, 176,332.65 and 70,822.30

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Solution

The fourth proportional to 117,708.70, 176,332.65 and 70,822.30 is: 106,094.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,708.70 : 176,332.65 = 70,822.30 : x
  2. Step 2: Convert to fraction form
    117,708.70/176,332.65 = 70,822.30/x
  3. Step 3: Cross multiply
    117,708.70x = 176,332.65 × 70,822.30
  4. Step 4: Simplify right side
    117,708.70x = 12,488,283,838.10
  5. Step 5: Solve for x
    x = 12,488,283,838.10/117,708.70
  6. Step 6: Final answer
    x = 106,094.82

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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.