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Finding the Fourth Proportional to 233,894.16, 350,787.59 and 65,426.41

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Solution

The fourth proportional to 233,894.16, 350,787.59 and 65,426.41 is: 98,124.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,894.16 : 350,787.59 = 65,426.41 : x
  2. Step 2: Convert to fraction form
    233,894.16/350,787.59 = 65,426.41/x
  3. Step 3: Cross multiply
    233,894.16x = 350,787.59 × 65,426.41
  4. Step 4: Simplify right side
    233,894.16x = 22,950,772,686.25
  5. Step 5: Solve for x
    x = 22,950,772,686.25/233,894.16
  6. Step 6: Final answer
    x = 98,124.61

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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.