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Finding the Fourth Proportional to 242,820.45, 335,076.48 and 135,384.21

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Solution

The fourth proportional to 242,820.45, 335,076.48 and 135,384.21 is: 186,821.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,820.45 : 335,076.48 = 135,384.21 : x
  2. Step 2: Convert to fraction form
    242,820.45/335,076.48 = 135,384.21/x
  3. Step 3: Cross multiply
    242,820.45x = 335,076.48 × 135,384.21
  4. Step 4: Simplify right side
    242,820.45x = 45,364,064,534.38
  5. Step 5: Solve for x
    x = 45,364,064,534.38/242,820.45
  6. Step 6: Final answer
    x = 186,821.43

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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.