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Finding the Fourth Proportional to 134,751.60, 201,965.40 and 55,825.20

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Solution

The fourth proportional to 134,751.60, 201,965.40 and 55,825.20 is: 83,670.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,751.60 : 201,965.40 = 55,825.20 : x
  2. Step 2: Convert to fraction form
    134,751.60/201,965.40 = 55,825.20/x
  3. Step 3: Cross multiply
    134,751.60x = 201,965.40 × 55,825.20
  4. Step 4: Simplify right side
    134,751.60x = 11,274,758,848.08
  5. Step 5: Solve for x
    x = 11,274,758,848.08/134,751.60
  6. Step 6: Final answer
    x = 83,670.69

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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.