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Finding the Fourth Proportional to 176,995.78, 265,146.02 and 116,840.98

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Solution

The fourth proportional to 176,995.78, 265,146.02 and 116,840.98 is: 175,031.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,995.78 : 265,146.02 = 116,840.98 : x
  2. Step 2: Convert to fraction form
    176,995.78/265,146.02 = 116,840.98/x
  3. Step 3: Cross multiply
    176,995.78x = 265,146.02 × 116,840.98
  4. Step 4: Simplify right side
    176,995.78x = 30,979,920,819.90
  5. Step 5: Solve for x
    x = 30,979,920,819.90/176,995.78
  6. Step 6: Final answer
    x = 175,031.97

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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.