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Finding the Fourth Proportional to 233,837.76, 350,797.84 and 76,038.32

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Solution

The fourth proportional to 233,837.76, 350,797.84 and 76,038.32 is: 114,070.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,837.76 : 350,797.84 = 76,038.32 : x
  2. Step 2: Convert to fraction form
    233,837.76/350,797.84 = 76,038.32/x
  3. Step 3: Cross multiply
    233,837.76x = 350,797.84 × 76,038.32
  4. Step 4: Simplify right side
    233,837.76x = 26,674,078,413.23
  5. Step 5: Solve for x
    x = 26,674,078,413.23/233,837.76
  6. Step 6: Final answer
    x = 114,070.88

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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.