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Finding the Fourth Proportional to 232,145.33, 320,224.43 and 145,967.69

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Solution

The fourth proportional to 232,145.33, 320,224.43 and 145,967.69 is: 201,349.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,145.33 : 320,224.43 = 145,967.69 : x
  2. Step 2: Convert to fraction form
    232,145.33/320,224.43 = 145,967.69/x
  3. Step 3: Cross multiply
    232,145.33x = 320,224.43 × 145,967.69
  4. Step 4: Simplify right side
    232,145.33x = 46,742,417,997.71
  5. Step 5: Solve for x
    x = 46,742,417,997.71/232,145.33
  6. Step 6: Final answer
    x = 201,349.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.