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Finding the Fourth Proportional to 224,009.18, 335,897.11 and 105,648.74

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Solution

The fourth proportional to 224,009.18, 335,897.11 and 105,648.74 is: 158,418.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,009.18 : 335,897.11 = 105,648.74 : x
  2. Step 2: Convert to fraction form
    224,009.18/335,897.11 = 105,648.74/x
  3. Step 3: Cross multiply
    224,009.18x = 335,897.11 × 105,648.74
  4. Step 4: Simplify right side
    224,009.18x = 35,487,106,441.14
  5. Step 5: Solve for x
    x = 35,487,106,441.14/224,009.18
  6. Step 6: Final answer
    x = 158,418.09

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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.