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Finding the Fourth Proportional to 86,467.12, 128,841.11 and 77,034.66

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Solution

The fourth proportional to 86,467.12, 128,841.11 and 77,034.66 is: 114,786.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,467.12 : 128,841.11 = 77,034.66 : x
  2. Step 2: Convert to fraction form
    86,467.12/128,841.11 = 77,034.66/x
  3. Step 3: Cross multiply
    86,467.12x = 128,841.11 × 77,034.66
  4. Step 4: Simplify right side
    86,467.12x = 9,925,230,073.49
  5. Step 5: Solve for x
    x = 9,925,230,073.49/86,467.12
  6. Step 6: Final answer
    x = 114,786.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.