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Finding the Fourth Proportional to 86,467.16, 128,841.20 and 77,034.71

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Solution

The fourth proportional to 86,467.16, 128,841.20 and 77,034.71 is: 114,786.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,467.16 : 128,841.20 = 77,034.71 : x
  2. Step 2: Convert to fraction form
    86,467.16/128,841.20 = 77,034.71/x
  3. Step 3: Cross multiply
    86,467.16x = 128,841.20 × 77,034.71
  4. Step 4: Simplify right side
    86,467.16x = 9,925,243,448.67
  5. Step 5: Solve for x
    x = 9,925,243,448.67/86,467.16
  6. Step 6: Final answer
    x = 114,786.28

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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.