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Finding the Fourth Proportional to 136,254, 204,392.52 and 37,758

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Solution

The fourth proportional to 136,254, 204,392.52 and 37,758 is: 56,640.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,254 : 204,392.52 = 37,758 : x
  2. Step 2: Convert to fraction form
    136,254/204,392.52 = 37,758/x
  3. Step 3: Cross multiply
    136,254x = 204,392.52 × 37,758
  4. Step 4: Simplify right side
    136,254x = 7,717,452,770.16
  5. Step 5: Solve for x
    x = 7,717,452,770.16/136,254
  6. Step 6: Final answer
    x = 56,640.19

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Why These Related Problems?

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