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Finding the Fourth Proportional to 106,664.64, 147,200.16 and 58,915.20

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Solution

The fourth proportional to 106,664.64, 147,200.16 and 58,915.20 is: 81,304.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,664.64 : 147,200.16 = 58,915.20 : x
  2. Step 2: Convert to fraction form
    106,664.64/147,200.16 = 58,915.20/x
  3. Step 3: Cross multiply
    106,664.64x = 147,200.16 × 58,915.20
  4. Step 4: Simplify right side
    106,664.64x = 8,672,326,866.43
  5. Step 5: Solve for x
    x = 8,672,326,866.43/106,664.64
  6. Step 6: Final answer
    x = 81,304.61

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Why These Related Problems?

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