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Finding the Fourth Proportional to 242,603, 334,792.14 and 142,001

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Solution

The fourth proportional to 242,603, 334,792.14 and 142,001 is: 195,961.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,603 : 334,792.14 = 142,001 : x
  2. Step 2: Convert to fraction form
    242,603/334,792.14 = 142,001/x
  3. Step 3: Cross multiply
    242,603x = 334,792.14 × 142,001
  4. Step 4: Simplify right side
    242,603x = 47,540,818,672.14
  5. Step 5: Solve for x
    x = 47,540,818,672.14/242,603
  6. Step 6: Final answer
    x = 195,961.38

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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.