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Finding the Fourth Proportional to 209,753.18, 314,348.19 and 114,840.11

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Solution

The fourth proportional to 209,753.18, 314,348.19 and 114,840.11 is: 172,106.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,753.18 : 314,348.19 = 114,840.11 : x
  2. Step 2: Convert to fraction form
    209,753.18/314,348.19 = 114,840.11/x
  3. Step 3: Cross multiply
    209,753.18x = 314,348.19 × 114,840.11
  4. Step 4: Simplify right side
    209,753.18x = 36,099,781,073.12
  5. Step 5: Solve for x
    x = 36,099,781,073.12/209,753.18
  6. Step 6: Final answer
    x = 172,106.00

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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.