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Finding the Fourth Proportional to 209,998.80, 314,998.20 and 135,203.40

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Solution

The fourth proportional to 209,998.80, 314,998.20 and 135,203.40 is: 202,805.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,998.80 : 314,998.20 = 135,203.40 : x
  2. Step 2: Convert to fraction form
    209,998.80/314,998.20 = 135,203.40/x
  3. Step 3: Cross multiply
    209,998.80x = 314,998.20 × 135,203.40
  4. Step 4: Simplify right side
    209,998.80x = 42,588,827,633.88
  5. Step 5: Solve for x
    x = 42,588,827,633.88/209,998.80
  6. Step 6: Final answer
    x = 202,805.10

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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.