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Finding the Fourth Proportional to 209,464.40, 314,196.60 and 153,695.90

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Solution

The fourth proportional to 209,464.40, 314,196.60 and 153,695.90 is: 230,543.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,464.40 : 314,196.60 = 153,695.90 : x
  2. Step 2: Convert to fraction form
    209,464.40/314,196.60 = 153,695.90/x
  3. Step 3: Cross multiply
    209,464.40x = 314,196.60 × 153,695.90
  4. Step 4: Simplify right side
    209,464.40x = 48,290,729,213.94
  5. Step 5: Solve for x
    x = 48,290,729,213.94/209,464.40
  6. Step 6: Final answer
    x = 230,543.85

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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.