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Finding the Fourth Proportional to 122,883.60, 184,325.40 and 97,514.40

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Solution

The fourth proportional to 122,883.60, 184,325.40 and 97,514.40 is: 146,271.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,883.60 : 184,325.40 = 97,514.40 : x
  2. Step 2: Convert to fraction form
    122,883.60/184,325.40 = 97,514.40/x
  3. Step 3: Cross multiply
    122,883.60x = 184,325.40 × 97,514.40
  4. Step 4: Simplify right side
    122,883.60x = 17,974,380,785.76
  5. Step 5: Solve for x
    x = 17,974,380,785.76/122,883.60
  6. Step 6: Final answer
    x = 146,271.60

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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.