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Finding the Fourth Proportional to 242,718.32, 364,077.16 and 65,225.33

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Solution

The fourth proportional to 242,718.32, 364,077.16 and 65,225.33 is: 97,837.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,718.32 : 364,077.16 = 65,225.33 : x
  2. Step 2: Convert to fraction form
    242,718.32/364,077.16 = 65,225.33/x
  3. Step 3: Cross multiply
    242,718.32x = 364,077.16 × 65,225.33
  4. Step 4: Simplify right side
    242,718.32x = 23,747,052,906.46
  5. Step 5: Solve for x
    x = 23,747,052,906.46/242,718.32
  6. Step 6: Final answer
    x = 97,837.91

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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.