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Finding the Fourth Proportional to 212,838.21, 293,718.71 and 117,348.30

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Solution

The fourth proportional to 212,838.21, 293,718.71 and 117,348.30 is: 161,941.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,838.21 : 293,718.71 = 117,348.30 : x
  2. Step 2: Convert to fraction form
    212,838.21/293,718.71 = 117,348.30/x
  3. Step 3: Cross multiply
    212,838.21x = 293,718.71 × 117,348.30
  4. Step 4: Simplify right side
    212,838.21x = 34,467,391,590.06
  5. Step 5: Solve for x
    x = 34,467,391,590.06/212,838.21
  6. Step 6: Final answer
    x = 161,941.75

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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.