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Finding the Fourth Proportional to 208,054.90, 312,082.35 and 202,222.90

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Solution

The fourth proportional to 208,054.90, 312,082.35 and 202,222.90 is: 303,334.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,054.90 : 312,082.35 = 202,222.90 : x
  2. Step 2: Convert to fraction form
    208,054.90/312,082.35 = 202,222.90/x
  3. Step 3: Cross multiply
    208,054.90x = 312,082.35 × 202,222.90
  4. Step 4: Simplify right side
    208,054.90x = 63,110,197,855.82
  5. Step 5: Solve for x
    x = 63,110,197,855.82/208,054.90
  6. Step 6: Final answer
    x = 303,334.35

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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.