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Finding the Fourth Proportional to 134,577.54, 201,859.02 and 41,076

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Solution

The fourth proportional to 134,577.54, 201,859.02 and 41,076 is: 61,611.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,577.54 : 201,859.02 = 41,076 : x
  2. Step 2: Convert to fraction form
    134,577.54/201,859.02 = 41,076/x
  3. Step 3: Cross multiply
    134,577.54x = 201,859.02 × 41,076
  4. Step 4: Simplify right side
    134,577.54x = 8,291,561,105.52
  5. Step 5: Solve for x
    x = 8,291,561,105.52/134,577.54
  6. Step 6: Final answer
    x = 61,611.77

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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.