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Finding the Fourth Proportional to 155,408.84, 233,032.92 and 50,214.08

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Solution

The fourth proportional to 155,408.84, 233,032.92 and 50,214.08 is: 75,295.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,408.84 : 233,032.92 = 50,214.08 : x
  2. Step 2: Convert to fraction form
    155,408.84/233,032.92 = 50,214.08/x
  3. Step 3: Cross multiply
    155,408.84x = 233,032.92 × 50,214.08
  4. Step 4: Simplify right side
    155,408.84x = 11,701,533,687.51
  5. Step 5: Solve for x
    x = 11,701,533,687.51/155,408.84
  6. Step 6: Final answer
    x = 75,295.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.