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Finding the Fourth Proportional to 115,082.62, 158,802.70 and 64,093.63

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Solution

The fourth proportional to 115,082.62, 158,802.70 and 64,093.63 is: 88,442.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,082.62 : 158,802.70 = 64,093.63 : x
  2. Step 2: Convert to fraction form
    115,082.62/158,802.70 = 64,093.63/x
  3. Step 3: Cross multiply
    115,082.62x = 158,802.70 × 64,093.63
  4. Step 4: Simplify right side
    115,082.62x = 10,178,241,537.75
  5. Step 5: Solve for x
    x = 10,178,241,537.75/115,082.62
  6. Step 6: Final answer
    x = 88,442.91

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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.