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Finding the Fourth Proportional to 146,150.40, 219,225.60 and 83,942.40

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Solution

The fourth proportional to 146,150.40, 219,225.60 and 83,942.40 is: 125,913.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,150.40 : 219,225.60 = 83,942.40 : x
  2. Step 2: Convert to fraction form
    146,150.40/219,225.60 = 83,942.40/x
  3. Step 3: Cross multiply
    146,150.40x = 219,225.60 × 83,942.40
  4. Step 4: Simplify right side
    146,150.40x = 18,402,323,005.44
  5. Step 5: Solve for x
    x = 18,402,323,005.44/146,150.40
  6. Step 6: Final answer
    x = 125,913.60

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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.