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Finding the Fourth Proportional to 115,136, 158,956.80 and 75,461.12

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Solution

The fourth proportional to 115,136, 158,956.80 and 75,461.12 is: 104,181.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,136 : 158,956.80 = 75,461.12 : x
  2. Step 2: Convert to fraction form
    115,136/158,956.80 = 75,461.12/x
  3. Step 3: Cross multiply
    115,136x = 158,956.80 × 75,461.12
  4. Step 4: Simplify right side
    115,136x = 11,995,058,159.62
  5. Step 5: Solve for x
    x = 11,995,058,159.62/115,136
  6. Step 6: Final answer
    x = 104,181.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.