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Finding the Fourth Proportional to 209,301.60, 314,025.30 and 91,057.80

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Solution

The fourth proportional to 209,301.60, 314,025.30 and 91,057.80 is: 136,618.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,301.60 : 314,025.30 = 91,057.80 : x
  2. Step 2: Convert to fraction form
    209,301.60/314,025.30 = 91,057.80/x
  3. Step 3: Cross multiply
    209,301.60x = 314,025.30 × 91,057.80
  4. Step 4: Simplify right side
    209,301.60x = 28,594,452,962.34
  5. Step 5: Solve for x
    x = 28,594,452,962.34/209,301.60
  6. Step 6: Final answer
    x = 136,618.42

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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.