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Finding the Fourth Proportional to 319,603.20, 479,577.60 and 142,137.60

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Solution

The fourth proportional to 319,603.20, 479,577.60 and 142,137.60 is: 213,283.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,603.20 : 479,577.60 = 142,137.60 : x
  2. Step 2: Convert to fraction form
    319,603.20/479,577.60 = 142,137.60/x
  3. Step 3: Cross multiply
    319,603.20x = 479,577.60 × 142,137.60
  4. Step 4: Simplify right side
    319,603.20x = 68,166,009,077.76
  5. Step 5: Solve for x
    x = 68,166,009,077.76/319,603.20
  6. Step 6: Final answer
    x = 213,283.25

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Why These Related Problems?

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