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Finding the Fourth Proportional to 232,078.16, 347,526.45 and 152,952.50

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Solution

The fourth proportional to 232,078.16, 347,526.45 and 152,952.50 is: 229,039.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,078.16 : 347,526.45 = 152,952.50 : x
  2. Step 2: Convert to fraction form
    232,078.16/347,526.45 = 152,952.50/x
  3. Step 3: Cross multiply
    232,078.16x = 347,526.45 × 152,952.50
  4. Step 4: Simplify right side
    232,078.16x = 53,155,040,212.44
  5. Step 5: Solve for x
    x = 53,155,040,212.44/232,078.16
  6. Step 6: Final answer
    x = 229,039.39

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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.