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Finding the Fourth Proportional to 131,653.77, 181,681.38 and 71,224.17

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Solution

The fourth proportional to 131,653.77, 181,681.38 and 71,224.17 is: 98,288.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,653.77 : 181,681.38 = 71,224.17 : x
  2. Step 2: Convert to fraction form
    131,653.77/181,681.38 = 71,224.17/x
  3. Step 3: Cross multiply
    131,653.77x = 181,681.38 × 71,224.17
  4. Step 4: Simplify right side
    131,653.77x = 12,940,105,494.95
  5. Step 5: Solve for x
    x = 12,940,105,494.95/131,653.77
  6. Step 6: Final answer
    x = 98,288.91

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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.