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Finding the Fourth Proportional to 212,838.84, 293,719.80 and 117,348.95

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Solution

The fourth proportional to 212,838.84, 293,719.80 and 117,348.95 is: 161,942.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,838.84 : 293,719.80 = 117,348.95 : x
  2. Step 2: Convert to fraction form
    212,838.84/293,719.80 = 117,348.95/x
  3. Step 3: Cross multiply
    212,838.84x = 293,719.80 × 117,348.95
  4. Step 4: Simplify right side
    212,838.84x = 34,467,710,308.44
  5. Step 5: Solve for x
    x = 34,467,710,308.44/212,838.84
  6. Step 6: Final answer
    x = 161,942.77

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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.