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Finding the Fourth Proportional to 209,282.32, 313,502.64 and 96,804.64

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Solution

The fourth proportional to 209,282.32, 313,502.64 and 96,804.64 is: 145,012.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,282.32 : 313,502.64 = 96,804.64 : x
  2. Step 2: Convert to fraction form
    209,282.32/313,502.64 = 96,804.64/x
  3. Step 3: Cross multiply
    209,282.32x = 313,502.64 × 96,804.64
  4. Step 4: Simplify right side
    209,282.32x = 30,348,510,204.25
  5. Step 5: Solve for x
    x = 30,348,510,204.25/209,282.32
  6. Step 6: Final answer
    x = 145,012.30

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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.