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Finding the Fourth Proportional to 209,435.60, 314,153.40 and 109,557.20

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Solution

The fourth proportional to 209,435.60, 314,153.40 and 109,557.20 is: 164,335.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,435.60 : 314,153.40 = 109,557.20 : x
  2. Step 2: Convert to fraction form
    209,435.60/314,153.40 = 109,557.20/x
  3. Step 3: Cross multiply
    209,435.60x = 314,153.40 × 109,557.20
  4. Step 4: Simplify right side
    209,435.60x = 34,417,766,874.48
  5. Step 5: Solve for x
    x = 34,417,766,874.48/209,435.60
  6. Step 6: Final answer
    x = 164,335.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.