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Finding the Fourth Proportional to 501,099.84, 751,569.74 and 146,030.80

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Solution

The fourth proportional to 501,099.84, 751,569.74 and 146,030.80 is: 219,022.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,099.84 : 751,569.74 = 146,030.80 : x
  2. Step 2: Convert to fraction form
    501,099.84/751,569.74 = 146,030.80/x
  3. Step 3: Cross multiply
    501,099.84x = 751,569.74 × 146,030.80
  4. Step 4: Simplify right side
    501,099.84x = 109,752,330,387.99
  5. Step 5: Solve for x
    x = 109,752,330,387.99/501,099.84
  6. Step 6: Final answer
    x = 219,022.88

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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.