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Finding the Fourth Proportional to 209,904.20, 314,856.30 and 201,156.20

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Solution

The fourth proportional to 209,904.20, 314,856.30 and 201,156.20 is: 301,734.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,904.20 : 314,856.30 = 201,156.20 : x
  2. Step 2: Convert to fraction form
    209,904.20/314,856.30 = 201,156.20/x
  3. Step 3: Cross multiply
    209,904.20x = 314,856.30 × 201,156.20
  4. Step 4: Simplify right side
    209,904.20x = 63,335,296,854.06
  5. Step 5: Solve for x
    x = 63,335,296,854.06/209,904.20
  6. Step 6: Final answer
    x = 301,734.30

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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.