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Finding the Fourth Proportional to 212,915.68, 293,819.76 and 117,431.20

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Solution

The fourth proportional to 212,915.68, 293,819.76 and 117,431.20 is: 162,052.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,915.68 : 293,819.76 = 117,431.20 : x
  2. Step 2: Convert to fraction form
    212,915.68/293,819.76 = 117,431.20/x
  3. Step 3: Cross multiply
    212,915.68x = 293,819.76 × 117,431.20
  4. Step 4: Simplify right side
    212,915.68x = 34,503,607,000.51
  5. Step 5: Solve for x
    x = 34,503,607,000.51/212,915.68
  6. Step 6: Final answer
    x = 162,052.92

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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.