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Finding the Fourth Proportional to 209,962.60, 314,943.90 and 131,230.60

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Solution

The fourth proportional to 209,962.60, 314,943.90 and 131,230.60 is: 196,845.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,962.60 : 314,943.90 = 131,230.60 : x
  2. Step 2: Convert to fraction form
    209,962.60/314,943.90 = 131,230.60/x
  3. Step 3: Cross multiply
    209,962.60x = 314,943.90 × 131,230.60
  4. Step 4: Simplify right side
    209,962.60x = 41,330,276,963.34
  5. Step 5: Solve for x
    x = 41,330,276,963.34/209,962.60
  6. Step 6: Final answer
    x = 196,845.90

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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.