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Finding the Fourth Proportional to 242,971.02, 335,336.94 and 147,459.24

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Solution

The fourth proportional to 242,971.02, 335,336.94 and 147,459.24 is: 203,516.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,971.02 : 335,336.94 = 147,459.24 : x
  2. Step 2: Convert to fraction form
    242,971.02/335,336.94 = 147,459.24/x
  3. Step 3: Cross multiply
    242,971.02x = 335,336.94 × 147,459.24
  4. Step 4: Simplify right side
    242,971.02x = 49,448,530,316.33
  5. Step 5: Solve for x
    x = 49,448,530,316.33/242,971.02
  6. Step 6: Final answer
    x = 203,516.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.