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Finding the Fourth Proportional to 122,877.60, 184,316.40 and 97,508.40

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Solution

The fourth proportional to 122,877.60, 184,316.40 and 97,508.40 is: 146,262.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,877.60 : 184,316.40 = 97,508.40 : x
  2. Step 2: Convert to fraction form
    122,877.60/184,316.40 = 97,508.40/x
  3. Step 3: Cross multiply
    122,877.60x = 184,316.40 × 97,508.40
  4. Step 4: Simplify right side
    122,877.60x = 17,972,397,257.76
  5. Step 5: Solve for x
    x = 17,972,397,257.76/122,877.60
  6. Step 6: Final answer
    x = 146,262.60

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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.