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Finding the Fourth Proportional to 501,928.96, 752,796.74 and 142,097.07

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Solution

The fourth proportional to 501,928.96, 752,796.74 and 142,097.07 is: 213,118.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,928.96 : 752,796.74 = 142,097.07 : x
  2. Step 2: Convert to fraction form
    501,928.96/752,796.74 = 142,097.07/x
  3. Step 3: Cross multiply
    501,928.96x = 752,796.74 × 142,097.07
  4. Step 4: Simplify right side
    501,928.96x = 106,970,208,467.08
  5. Step 5: Solve for x
    x = 106,970,208,467.08/501,928.96
  6. Step 6: Final answer
    x = 213,118.22

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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.