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Finding the Fourth Proportional to 136,264, 204,407.52 and 37,768

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Solution

The fourth proportional to 136,264, 204,407.52 and 37,768 is: 56,655.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,264 : 204,407.52 = 37,768 : x
  2. Step 2: Convert to fraction form
    136,264/204,407.52 = 37,768/x
  3. Step 3: Cross multiply
    136,264x = 204,407.52 × 37,768
  4. Step 4: Simplify right side
    136,264x = 7,720,063,215.36
  5. Step 5: Solve for x
    x = 7,720,063,215.36/136,264
  6. Step 6: Final answer
    x = 56,655.19

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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.