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Finding the Fourth Proportional to 242,307.20, 363,676.80 and 142,342.40

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Solution

The fourth proportional to 242,307.20, 363,676.80 and 142,342.40 is: 213,640.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,307.20 : 363,676.80 = 142,342.40 : x
  2. Step 2: Convert to fraction form
    242,307.20/363,676.80 = 142,342.40/x
  3. Step 3: Cross multiply
    242,307.20x = 363,676.80 × 142,342.40
  4. Step 4: Simplify right side
    242,307.20x = 51,766,628,536.32
  5. Step 5: Solve for x
    x = 51,766,628,536.32/242,307.20
  6. Step 6: Final answer
    x = 213,640.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.