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Finding the Fourth Proportional to 146,655.36, 219,978.32 and 46,821.65

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Solution

The fourth proportional to 146,655.36, 219,978.32 and 46,821.65 is: 70,230.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,655.36 : 219,978.32 = 46,821.65 : x
  2. Step 2: Convert to fraction form
    146,655.36/219,978.32 = 46,821.65/x
  3. Step 3: Cross multiply
    146,655.36x = 219,978.32 × 46,821.65
  4. Step 4: Simplify right side
    146,655.36x = 10,299,746,572.63
  5. Step 5: Solve for x
    x = 10,299,746,572.63/146,655.36
  6. Step 6: Final answer
    x = 70,230.96

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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.