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Finding the Fourth Proportional to 117,630.78, 176,427.63 and 97,767.82

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Solution

The fourth proportional to 117,630.78, 176,427.63 and 97,767.82 is: 146,636.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,630.78 : 176,427.63 = 97,767.82 : x
  2. Step 2: Convert to fraction form
    117,630.78/176,427.63 = 97,767.82/x
  3. Step 3: Cross multiply
    117,630.78x = 176,427.63 × 97,767.82
  4. Step 4: Simplify right side
    117,630.78x = 17,248,944,772.87
  5. Step 5: Solve for x
    x = 17,248,944,772.87/117,630.78
  6. Step 6: Final answer
    x = 146,636.32

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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.