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Finding the Fourth Proportional to 233,084.16, 349,545.60 and 144,201.60

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Solution

The fourth proportional to 233,084.16, 349,545.60 and 144,201.60 is: 216,252.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,084.16 : 349,545.60 = 144,201.60 : x
  2. Step 2: Convert to fraction form
    233,084.16/349,545.60 = 144,201.60/x
  3. Step 3: Cross multiply
    233,084.16x = 349,545.60 × 144,201.60
  4. Step 4: Simplify right side
    233,084.16x = 50,405,034,792.96
  5. Step 5: Solve for x
    x = 50,405,034,792.96/233,084.16
  6. Step 6: Final answer
    x = 216,252.51

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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.