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Finding the Fourth Proportional to 209,912.30, 314,868.45 and 121,120.10

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Solution

The fourth proportional to 209,912.30, 314,868.45 and 121,120.10 is: 181,680.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,912.30 : 314,868.45 = 121,120.10 : x
  2. Step 2: Convert to fraction form
    209,912.30/314,868.45 = 121,120.10/x
  3. Step 3: Cross multiply
    209,912.30x = 314,868.45 × 121,120.10
  4. Step 4: Simplify right side
    209,912.30x = 38,136,898,150.85
  5. Step 5: Solve for x
    x = 38,136,898,150.85/209,912.30
  6. Step 6: Final answer
    x = 181,680.15

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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.