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Finding the Fourth Proportional to 301,343.84, 452,088.84 and 90,969.20

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Solution

The fourth proportional to 301,343.84, 452,088.84 and 90,969.20 is: 136,475.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,343.84 : 452,088.84 = 90,969.20 : x
  2. Step 2: Convert to fraction form
    301,343.84/452,088.84 = 90,969.20/x
  3. Step 3: Cross multiply
    301,343.84x = 452,088.84 × 90,969.20
  4. Step 4: Simplify right side
    301,343.84x = 41,126,160,103.73
  5. Step 5: Solve for x
    x = 41,126,160,103.73/301,343.84
  6. Step 6: Final answer
    x = 136,475.86

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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.