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Finding the Fourth Proportional to 117,175.40, 176,262.02 and 106,214.45

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Solution

The fourth proportional to 117,175.40, 176,262.02 and 106,214.45 is: 159,773.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,175.40 : 176,262.02 = 106,214.45 : x
  2. Step 2: Convert to fraction form
    117,175.40/176,262.02 = 106,214.45/x
  3. Step 3: Cross multiply
    117,175.40x = 176,262.02 × 106,214.45
  4. Step 4: Simplify right side
    117,175.40x = 18,721,572,097.81
  5. Step 5: Solve for x
    x = 18,721,572,097.81/117,175.40
  6. Step 6: Final answer
    x = 159,773.91

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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.