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Finding the Fourth Proportional to 200,972.90, 277,332.17 and 119,304.55

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Solution

The fourth proportional to 200,972.90, 277,332.17 and 119,304.55 is: 164,634.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,972.90 : 277,332.17 = 119,304.55 : x
  2. Step 2: Convert to fraction form
    200,972.90/277,332.17 = 119,304.55/x
  3. Step 3: Cross multiply
    200,972.90x = 277,332.17 × 119,304.55
  4. Step 4: Simplify right side
    200,972.90x = 33,086,989,492.52
  5. Step 5: Solve for x
    x = 33,086,989,492.52/200,972.90
  6. Step 6: Final answer
    x = 164,634.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.