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Finding the Fourth Proportional to 242,264.77, 362,997.25 and 140,777.92

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Solution

The fourth proportional to 242,264.77, 362,997.25 and 140,777.92 is: 210,934.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,264.77 : 362,997.25 = 140,777.92 : x
  2. Step 2: Convert to fraction form
    242,264.77/362,997.25 = 140,777.92/x
  3. Step 3: Cross multiply
    242,264.77x = 362,997.25 × 140,777.92
  4. Step 4: Simplify right side
    242,264.77x = 51,101,997,820.72
  5. Step 5: Solve for x
    x = 51,101,997,820.72/242,264.77
  6. Step 6: Final answer
    x = 210,934.50

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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.