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Finding the Fourth Proportional to 209,841.60, 314,301.60 and 182,193.60

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Solution

The fourth proportional to 209,841.60, 314,301.60 and 182,193.60 is: 272,890.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,841.60 : 314,301.60 = 182,193.60 : x
  2. Step 2: Convert to fraction form
    209,841.60/314,301.60 = 182,193.60/x
  3. Step 3: Cross multiply
    209,841.60x = 314,301.60 × 182,193.60
  4. Step 4: Simplify right side
    209,841.60x = 57,263,739,989.76
  5. Step 5: Solve for x
    x = 57,263,739,989.76/209,841.60
  6. Step 6: Final answer
    x = 272,890.31

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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.