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Finding the Fourth Proportional to 209,088.80, 313,114.80 and 167,616.80

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Solution

The fourth proportional to 209,088.80, 313,114.80 and 167,616.80 is: 251,009.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,088.80 : 313,114.80 = 167,616.80 : x
  2. Step 2: Convert to fraction form
    209,088.80/313,114.80 = 167,616.80/x
  3. Step 3: Cross multiply
    209,088.80x = 313,114.80 × 167,616.80
  4. Step 4: Simplify right side
    209,088.80x = 52,483,300,808.64
  5. Step 5: Solve for x
    x = 52,483,300,808.64/209,088.80
  6. Step 6: Final answer
    x = 251,009.62

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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.