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Finding the Fourth Proportional to 136,410.64, 204,643.80 and 57,524.72

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Solution

The fourth proportional to 136,410.64, 204,643.80 and 57,524.72 is: 86,298.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,410.64 : 204,643.80 = 57,524.72 : x
  2. Step 2: Convert to fraction form
    136,410.64/204,643.80 = 57,524.72/x
  3. Step 3: Cross multiply
    136,410.64x = 204,643.80 × 57,524.72
  4. Step 4: Simplify right side
    136,410.64x = 11,772,077,294.74
  5. Step 5: Solve for x
    x = 11,772,077,294.74/136,410.64
  6. Step 6: Final answer
    x = 86,298.82

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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.