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Finding the Fourth Proportional to 146,329.98, 219,472.02 and 46,477.01

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Solution

The fourth proportional to 146,329.98, 219,472.02 and 46,477.01 is: 69,708.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,329.98 : 219,472.02 = 46,477.01 : x
  2. Step 2: Convert to fraction form
    146,329.98/219,472.02 = 46,477.01/x
  3. Step 3: Cross multiply
    146,329.98x = 219,472.02 × 46,477.01
  4. Step 4: Simplify right side
    146,329.98x = 10,200,402,170.90
  5. Step 5: Solve for x
    x = 10,200,402,170.90/146,329.98
  6. Step 6: Final answer
    x = 69,708.22

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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.