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Finding the Fourth Proportional to 123,222.60, 184,833.90 and 97,853.40

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Solution

The fourth proportional to 123,222.60, 184,833.90 and 97,853.40 is: 146,780.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,222.60 : 184,833.90 = 97,853.40 : x
  2. Step 2: Convert to fraction form
    123,222.60/184,833.90 = 97,853.40/x
  3. Step 3: Cross multiply
    123,222.60x = 184,833.90 × 97,853.40
  4. Step 4: Simplify right side
    123,222.60x = 18,086,625,550.26
  5. Step 5: Solve for x
    x = 18,086,625,550.26/123,222.60
  6. Step 6: Final answer
    x = 146,780.10

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1.5x scale

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.