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Finding the Fourth Proportional to 146,102.40, 219,153.60 and 57,310.20

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Solution

The fourth proportional to 146,102.40, 219,153.60 and 57,310.20 is: 85,965.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,102.40 : 219,153.60 = 57,310.20 : x
  2. Step 2: Convert to fraction form
    146,102.40/219,153.60 = 57,310.20/x
  3. Step 3: Cross multiply
    146,102.40x = 219,153.60 × 57,310.20
  4. Step 4: Simplify right side
    146,102.40x = 12,559,736,646.72
  5. Step 5: Solve for x
    x = 12,559,736,646.72/146,102.40
  6. Step 6: Final answer
    x = 85,965.30

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1.5x scale

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.