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Finding the Fourth Proportional to 145,910.80, 201,322.61 and 88,548.84

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Solution

The fourth proportional to 145,910.80, 201,322.61 and 88,548.84 is: 122,176.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,910.80 : 201,322.61 = 88,548.84 : x
  2. Step 2: Convert to fraction form
    145,910.80/201,322.61 = 88,548.84/x
  3. Step 3: Cross multiply
    145,910.80x = 201,322.61 × 88,548.84
  4. Step 4: Simplify right side
    145,910.80x = 17,826,883,581.27
  5. Step 5: Solve for x
    x = 17,826,883,581.27/145,910.80
  6. Step 6: Final answer
    x = 122,176.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.