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Finding the Fourth Proportional to 241,775.84, 362,294.28 and 101,457.92

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Solution

The fourth proportional to 241,775.84, 362,294.28 and 101,457.92 is: 152,031.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,775.84 : 362,294.28 = 101,457.92 : x
  2. Step 2: Convert to fraction form
    241,775.84/362,294.28 = 101,457.92/x
  3. Step 3: Cross multiply
    241,775.84x = 362,294.28 × 101,457.92
  4. Step 4: Simplify right side
    241,775.84x = 36,757,624,076.70
  5. Step 5: Solve for x
    x = 36,757,624,076.70/241,775.84
  6. Step 6: Final answer
    x = 152,031.83

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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.