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Finding the Fourth Proportional to 136,478.80, 204,745.74 and 57,592.72

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Solution

The fourth proportional to 136,478.80, 204,745.74 and 57,592.72 is: 86,400.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,478.80 : 204,745.74 = 57,592.72 : x
  2. Step 2: Convert to fraction form
    136,478.80/204,745.74 = 57,592.72/x
  3. Step 3: Cross multiply
    136,478.80x = 204,745.74 × 57,592.72
  4. Step 4: Simplify right side
    136,478.80x = 11,791,864,075.01
  5. Step 5: Solve for x
    x = 11,791,864,075.01/136,478.80
  6. Step 6: Final answer
    x = 86,400.70

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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.