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Finding the Fourth Proportional to 501,097.68, 751,566.51 and 146,028.65

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Solution

The fourth proportional to 501,097.68, 751,566.51 and 146,028.65 is: 219,019.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,097.68 : 751,566.51 = 146,028.65 : x
  2. Step 2: Convert to fraction form
    501,097.68/751,566.51 = 146,028.65/x
  3. Step 3: Cross multiply
    501,097.68x = 751,566.51 × 146,028.65
  4. Step 4: Simplify right side
    501,097.68x = 109,750,239,082.68
  5. Step 5: Solve for x
    x = 109,750,239,082.68/501,097.68
  6. Step 6: Final answer
    x = 219,019.65

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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.