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Finding the Fourth Proportional to 202,212.90, 303,319.35 and 164,159.10

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Solution

The fourth proportional to 202,212.90, 303,319.35 and 164,159.10 is: 246,238.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,212.90 : 303,319.35 = 164,159.10 : x
  2. Step 2: Convert to fraction form
    202,212.90/303,319.35 = 164,159.10/x
  3. Step 3: Cross multiply
    202,212.90x = 303,319.35 × 164,159.10
  4. Step 4: Simplify right side
    202,212.90x = 49,792,631,508.59
  5. Step 5: Solve for x
    x = 49,792,631,508.59/202,212.90
  6. Step 6: Final answer
    x = 246,238.65

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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.