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Finding the Fourth Proportional to 142,333.13, 196,416.29 and 77,799.46

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Solution

The fourth proportional to 142,333.13, 196,416.29 and 77,799.46 is: 107,361.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,333.13 : 196,416.29 = 77,799.46 : x
  2. Step 2: Convert to fraction form
    142,333.13/196,416.29 = 77,799.46/x
  3. Step 3: Cross multiply
    142,333.13x = 196,416.29 × 77,799.46
  4. Step 4: Simplify right side
    142,333.13x = 15,281,081,297.20
  5. Step 5: Solve for x
    x = 15,281,081,297.20/142,333.13
  6. Step 6: Final answer
    x = 107,361.38

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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.