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Finding the Fourth Proportional to 214,101.60, 294,860.96 and 209,452.40

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Solution

The fourth proportional to 214,101.60, 294,860.96 and 209,452.40 is: 288,458.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,101.60 : 294,860.96 = 209,452.40 : x
  2. Step 2: Convert to fraction form
    214,101.60/294,860.96 = 209,452.40/x
  3. Step 3: Cross multiply
    214,101.60x = 294,860.96 × 209,452.40
  4. Step 4: Simplify right side
    214,101.60x = 61,759,335,738.30
  5. Step 5: Solve for x
    x = 61,759,335,738.30/214,101.60
  6. Step 6: Final answer
    x = 288,458.08

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