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Finding the Fourth Proportional to 233,999.40, 351,143.10 and 100,943.40

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Solution

The fourth proportional to 233,999.40, 351,143.10 and 100,943.40 is: 151,477.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,999.40 : 351,143.10 = 100,943.40 : x
  2. Step 2: Convert to fraction form
    233,999.40/351,143.10 = 100,943.40/x
  3. Step 3: Cross multiply
    233,999.40x = 351,143.10 × 100,943.40
  4. Step 4: Simplify right side
    233,999.40x = 35,445,578,400.54
  5. Step 5: Solve for x
    x = 35,445,578,400.54/233,999.40
  6. Step 6: Final answer
    x = 151,477.22

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Why These Related Problems?

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