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Finding the Fourth Proportional to 342,928.64, 514,205.04 and 106,205.60

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Solution

The fourth proportional to 342,928.64, 514,205.04 and 106,205.60 is: 159,250.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,928.64 : 514,205.04 = 106,205.60 : x
  2. Step 2: Convert to fraction form
    342,928.64/514,205.04 = 106,205.60/x
  3. Step 3: Cross multiply
    342,928.64x = 514,205.04 × 106,205.60
  4. Step 4: Simplify right side
    342,928.64x = 54,611,454,796.22
  5. Step 5: Solve for x
    x = 54,611,454,796.22/342,928.64
  6. Step 6: Final answer
    x = 159,250.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.