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Finding the Fourth Proportional to 209,987.80, 314,981.70 and 121,414.30

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Solution

The fourth proportional to 209,987.80, 314,981.70 and 121,414.30 is: 182,121.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,987.80 : 314,981.70 = 121,414.30 : x
  2. Step 2: Convert to fraction form
    209,987.80/314,981.70 = 121,414.30/x
  3. Step 3: Cross multiply
    209,987.80x = 314,981.70 × 121,414.30
  4. Step 4: Simplify right side
    209,987.80x = 38,243,282,618.31
  5. Step 5: Solve for x
    x = 38,243,282,618.31/209,987.80
  6. Step 6: Final answer
    x = 182,121.45

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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.