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Finding the Fourth Proportional to 128,877.60, 193,316.40 and 120,129.60

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Solution

The fourth proportional to 128,877.60, 193,316.40 and 120,129.60 is: 180,194.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,877.60 : 193,316.40 = 120,129.60 : x
  2. Step 2: Convert to fraction form
    128,877.60/193,316.40 = 120,129.60/x
  3. Step 3: Cross multiply
    128,877.60x = 193,316.40 × 120,129.60
  4. Step 4: Simplify right side
    128,877.60x = 23,223,021,805.44
  5. Step 5: Solve for x
    x = 23,223,021,805.44/128,877.60
  6. Step 6: Final answer
    x = 180,194.40

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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.