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Finding the Fourth Proportional to 242,069.34, 362,208.26 and 146,062.20

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Solution

The fourth proportional to 242,069.34, 362,208.26 and 146,062.20 is: 218,552.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,069.34 : 362,208.26 = 146,062.20 : x
  2. Step 2: Convert to fraction form
    242,069.34/362,208.26 = 146,062.20/x
  3. Step 3: Cross multiply
    242,069.34x = 362,208.26 × 146,062.20
  4. Step 4: Simplify right side
    242,069.34x = 52,904,935,313.77
  5. Step 5: Solve for x
    x = 52,904,935,313.77/242,069.34
  6. Step 6: Final answer
    x = 218,552.81

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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.