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Finding the Fourth Proportional to 202,068, 303,145.74 and 77,409

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Solution

The fourth proportional to 202,068, 303,145.74 and 77,409 is: 116,130.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,068 : 303,145.74 = 77,409 : x
  2. Step 2: Convert to fraction form
    202,068/303,145.74 = 77,409/x
  3. Step 3: Cross multiply
    202,068x = 303,145.74 × 77,409
  4. Step 4: Simplify right side
    202,068x = 23,466,208,587.66
  5. Step 5: Solve for x
    x = 23,466,208,587.66/202,068
  6. Step 6: Final answer
    x = 116,130.26

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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.