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Finding the Fourth Proportional to 209,873.20, 314,809.80 and 201,708.40

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Solution

The fourth proportional to 209,873.20, 314,809.80 and 201,708.40 is: 302,562.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,873.20 : 314,809.80 = 201,708.40 : x
  2. Step 2: Convert to fraction form
    209,873.20/314,809.80 = 201,708.40/x
  3. Step 3: Cross multiply
    209,873.20x = 314,809.80 × 201,708.40
  4. Step 4: Simplify right side
    209,873.20x = 63,499,781,062.32
  5. Step 5: Solve for x
    x = 63,499,781,062.32/209,873.20
  6. Step 6: Final answer
    x = 302,562.60

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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.