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Finding the Fourth Proportional to 212,915.64, 293,823.84 and 116,119.69

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Solution

The fourth proportional to 212,915.64, 293,823.84 and 116,119.69 is: 160,245.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,915.64 : 293,823.84 = 116,119.69 : x
  2. Step 2: Convert to fraction form
    212,915.64/293,823.84 = 116,119.69/x
  3. Step 3: Cross multiply
    212,915.64x = 293,823.84 × 116,119.69
  4. Step 4: Simplify right side
    212,915.64x = 34,118,733,215.41
  5. Step 5: Solve for x
    x = 34,118,733,215.41/212,915.64
  6. Step 6: Final answer
    x = 160,245.31

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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.