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Finding the Fourth Proportional to 301,290.84, 451,951.25 and 98,869.01

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Solution

The fourth proportional to 301,290.84, 451,951.25 and 98,869.01 is: 148,308.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,290.84 : 451,951.25 = 98,869.01 : x
  2. Step 2: Convert to fraction form
    301,290.84/451,951.25 = 98,869.01/x
  3. Step 3: Cross multiply
    301,290.84x = 451,951.25 × 98,869.01
  4. Step 4: Simplify right side
    301,290.84x = 44,683,969,901.66
  5. Step 5: Solve for x
    x = 44,683,969,901.66/301,290.84
  6. Step 6: Final answer
    x = 148,308.42

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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.