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Finding the Fourth Proportional to 86,466.62, 128,840.36 and 77,034.16

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Solution

The fourth proportional to 86,466.62, 128,840.36 and 77,034.16 is: 114,785.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,466.62 : 128,840.36 = 77,034.16 : x
  2. Step 2: Convert to fraction form
    86,466.62/128,840.36 = 77,034.16/x
  3. Step 3: Cross multiply
    86,466.62x = 128,840.36 × 77,034.16
  4. Step 4: Simplify right side
    86,466.62x = 9,925,108,262.50
  5. Step 5: Solve for x
    x = 9,925,108,262.50/86,466.62
  6. Step 6: Final answer
    x = 114,785.43

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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.