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Finding the Fourth Proportional to 127,288.08, 175,763.88 and 106,178.04

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Solution

The fourth proportional to 127,288.08, 175,763.88 and 106,178.04 is: 146,614.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,288.08 : 175,763.88 = 106,178.04 : x
  2. Step 2: Convert to fraction form
    127,288.08/175,763.88 = 106,178.04/x
  3. Step 3: Cross multiply
    127,288.08x = 175,763.88 × 106,178.04
  4. Step 4: Simplify right side
    127,288.08x = 18,662,264,281.20
  5. Step 5: Solve for x
    x = 18,662,264,281.20/127,288.08
  6. Step 6: Final answer
    x = 146,614.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.