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Finding the Fourth Proportional to 209,909.80, 314,864.70 and 121,117.60

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Solution

The fourth proportional to 209,909.80, 314,864.70 and 121,117.60 is: 181,676.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,909.80 : 314,864.70 = 121,117.60 : x
  2. Step 2: Convert to fraction form
    209,909.80/314,864.70 = 121,117.60/x
  3. Step 3: Cross multiply
    209,909.80x = 314,864.70 × 121,117.60
  4. Step 4: Simplify right side
    209,909.80x = 38,135,656,788.72
  5. Step 5: Solve for x
    x = 38,135,656,788.72/209,909.80
  6. Step 6: Final answer
    x = 181,676.40

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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.