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Finding the Fourth Proportional to 146,057.76, 219,088.08 and 46,216.08

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Solution

The fourth proportional to 146,057.76, 219,088.08 and 46,216.08 is: 69,324.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,057.76 : 219,088.08 = 46,216.08 : x
  2. Step 2: Convert to fraction form
    146,057.76/219,088.08 = 46,216.08/x
  3. Step 3: Cross multiply
    146,057.76x = 219,088.08 × 46,216.08
  4. Step 4: Simplify right side
    146,057.76x = 10,125,392,232.33
  5. Step 5: Solve for x
    x = 10,125,392,232.33/146,057.76
  6. Step 6: Final answer
    x = 69,324.58

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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.