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Finding the Fourth Proportional to 144,494.46, 216,649.37 and 69,465.32

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Solution

The fourth proportional to 144,494.46, 216,649.37 and 69,465.32 is: 104,153.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,494.46 : 216,649.37 = 69,465.32 : x
  2. Step 2: Convert to fraction form
    144,494.46/216,649.37 = 69,465.32/x
  3. Step 3: Cross multiply
    144,494.46x = 216,649.37 × 69,465.32
  4. Step 4: Simplify right side
    144,494.46x = 15,049,616,384.28
  5. Step 5: Solve for x
    x = 15,049,616,384.28/144,494.46
  6. Step 6: Final answer
    x = 104,153.59

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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.