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Finding the Fourth Proportional to 242,066.36, 362,984.34 and 84,275.48

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Solution

The fourth proportional to 242,066.36, 362,984.34 and 84,275.48 is: 126,373.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,066.36 : 362,984.34 = 84,275.48 : x
  2. Step 2: Convert to fraction form
    242,066.36/362,984.34 = 84,275.48/x
  3. Step 3: Cross multiply
    242,066.36x = 362,984.34 × 84,275.48
  4. Step 4: Simplify right side
    242,066.36x = 30,590,679,485.98
  5. Step 5: Solve for x
    x = 30,590,679,485.98/242,066.36
  6. Step 6: Final answer
    x = 126,373.11

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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.