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Finding the Fourth Proportional to 117,348.40, 176,022.60 and 97,908.40

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Solution

The fourth proportional to 117,348.40, 176,022.60 and 97,908.40 is: 146,862.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,348.40 : 176,022.60 = 97,908.40 : x
  2. Step 2: Convert to fraction form
    117,348.40/176,022.60 = 97,908.40/x
  3. Step 3: Cross multiply
    117,348.40x = 176,022.60 × 97,908.40
  4. Step 4: Simplify right side
    117,348.40x = 17,234,091,129.84
  5. Step 5: Solve for x
    x = 17,234,091,129.84/117,348.40
  6. Step 6: Final answer
    x = 146,862.60

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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.