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Finding the Fourth Proportional to 146,295.54, 219,410.46 and 87,148.08

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Solution

The fourth proportional to 146,295.54, 219,410.46 and 87,148.08 is: 130,702.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,295.54 : 219,410.46 = 87,148.08 : x
  2. Step 2: Convert to fraction form
    146,295.54/219,410.46 = 87,148.08/x
  3. Step 3: Cross multiply
    146,295.54x = 219,410.46 × 87,148.08
  4. Step 4: Simplify right side
    146,295.54x = 19,121,200,320.92
  5. Step 5: Solve for x
    x = 19,121,200,320.92/146,295.54
  6. Step 6: Final answer
    x = 130,702.55

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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.