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Finding the Fourth Proportional to 209,411.93, 288,987.14 and 113,919.01

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Solution

The fourth proportional to 209,411.93, 288,987.14 and 113,919.01 is: 157,207.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,411.93 : 288,987.14 = 113,919.01 : x
  2. Step 2: Convert to fraction form
    209,411.93/288,987.14 = 113,919.01/x
  3. Step 3: Cross multiply
    209,411.93x = 288,987.14 × 113,919.01
  4. Step 4: Simplify right side
    209,411.93x = 32,921,128,453.86
  5. Step 5: Solve for x
    x = 32,921,128,453.86/209,411.93
  6. Step 6: Final answer
    x = 157,207.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.