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Finding the Fourth Proportional to 131,206.95, 181,060.38 and 77,509.22

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Solution

The fourth proportional to 131,206.95, 181,060.38 and 77,509.22 is: 106,959.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,206.95 : 181,060.38 = 77,509.22 : x
  2. Step 2: Convert to fraction form
    131,206.95/181,060.38 = 77,509.22/x
  3. Step 3: Cross multiply
    131,206.95x = 181,060.38 × 77,509.22
  4. Step 4: Simplify right side
    131,206.95x = 14,033,848,826.70
  5. Step 5: Solve for x
    x = 14,033,848,826.70/131,206.95
  6. Step 6: Final answer
    x = 106,959.65

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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.