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Finding the Fourth Proportional to 136,258, 204,398.52 and 37,762

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Solution

The fourth proportional to 136,258, 204,398.52 and 37,762 is: 56,646.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,258 : 204,398.52 = 37,762 : x
  2. Step 2: Convert to fraction form
    136,258/204,398.52 = 37,762/x
  3. Step 3: Cross multiply
    136,258x = 204,398.52 × 37,762
  4. Step 4: Simplify right side
    136,258x = 7,718,496,912.24
  5. Step 5: Solve for x
    x = 7,718,496,912.24/136,258
  6. Step 6: Final answer
    x = 56,646.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.