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Finding the Fourth Proportional to 83,136, 114,728.31 and 45,410.25

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Solution

The fourth proportional to 83,136, 114,728.31 and 45,410.25 is: 62,666.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,136 : 114,728.31 = 45,410.25 : x
  2. Step 2: Convert to fraction form
    83,136/114,728.31 = 45,410.25/x
  3. Step 3: Cross multiply
    83,136x = 114,728.31 × 45,410.25
  4. Step 4: Simplify right side
    83,136x = 5,209,841,239.18
  5. Step 5: Solve for x
    x = 5,209,841,239.18/83,136
  6. Step 6: Final answer
    x = 62,666.49

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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.