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Finding the Fourth Proportional to 242,721.83, 364,082.40 and 65,228.84

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Solution

The fourth proportional to 242,721.83, 364,082.40 and 65,228.84 is: 97,843.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,721.83 : 364,082.40 = 65,228.84 : x
  2. Step 2: Convert to fraction form
    242,721.83/364,082.40 = 65,228.84/x
  3. Step 3: Cross multiply
    242,721.83x = 364,082.40 × 65,228.84
  4. Step 4: Simplify right side
    242,721.83x = 23,748,670,796.00
  5. Step 5: Solve for x
    x = 23,748,670,796.00/242,721.83
  6. Step 6: Final answer
    x = 97,843.16

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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.