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Finding the Fourth Proportional to 102,222.84, 153,335.02 and 35,662.70

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Solution

The fourth proportional to 102,222.84, 153,335.02 and 35,662.70 is: 53,494.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,222.84 : 153,335.02 = 35,662.70 : x
  2. Step 2: Convert to fraction form
    102,222.84/153,335.02 = 35,662.70/x
  3. Step 3: Cross multiply
    102,222.84x = 153,335.02 × 35,662.70
  4. Step 4: Simplify right side
    102,222.84x = 5,468,340,817.75
  5. Step 5: Solve for x
    x = 5,468,340,817.75/102,222.84
  6. Step 6: Final answer
    x = 53,494.32

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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.