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Finding the Fourth Proportional to 144,223.74, 216,041.84 and 117,664.38

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Solution

The fourth proportional to 144,223.74, 216,041.84 and 117,664.38 is: 176,256.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,223.74 : 216,041.84 = 117,664.38 : x
  2. Step 2: Convert to fraction form
    144,223.74/216,041.84 = 117,664.38/x
  3. Step 3: Cross multiply
    144,223.74x = 216,041.84 × 117,664.38
  4. Step 4: Simplify right side
    144,223.74x = 25,420,429,157.66
  5. Step 5: Solve for x
    x = 25,420,429,157.66/144,223.74
  6. Step 6: Final answer
    x = 176,256.90

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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.