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Finding the Fourth Proportional to 197,153.60, 295,730.40 and 78,843.20

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Solution

The fourth proportional to 197,153.60, 295,730.40 and 78,843.20 is: 118,264.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,153.60 : 295,730.40 = 78,843.20 : x
  2. Step 2: Convert to fraction form
    197,153.60/295,730.40 = 78,843.20/x
  3. Step 3: Cross multiply
    197,153.60x = 295,730.40 × 78,843.20
  4. Step 4: Simplify right side
    197,153.60x = 23,316,331,073.28
  5. Step 5: Solve for x
    x = 23,316,331,073.28/197,153.60
  6. Step 6: Final answer
    x = 118,264.80

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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.