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Finding the Fourth Proportional to 86,120.76, 129,204.18 and 77,895.48

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Solution

The fourth proportional to 86,120.76, 129,204.18 and 77,895.48 is: 116,864.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,120.76 : 129,204.18 = 77,895.48 : x
  2. Step 2: Convert to fraction form
    86,120.76/129,204.18 = 77,895.48/x
  3. Step 3: Cross multiply
    86,120.76x = 129,204.18 × 77,895.48
  4. Step 4: Simplify right side
    86,120.76x = 10,064,421,619.11
  5. Step 5: Solve for x
    x = 10,064,421,619.11/86,120.76
  6. Step 6: Final answer
    x = 116,864.06

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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.