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Finding the Fourth Proportional to 267,267.83, 368,829.72 and 146,413.49

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Solution

The fourth proportional to 267,267.83, 368,829.72 and 146,413.49 is: 202,050.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,267.83 : 368,829.72 = 146,413.49 : x
  2. Step 2: Convert to fraction form
    267,267.83/368,829.72 = 146,413.49/x
  3. Step 3: Cross multiply
    267,267.83x = 368,829.72 × 146,413.49
  4. Step 4: Simplify right side
    267,267.83x = 54,001,644,676.77
  5. Step 5: Solve for x
    x = 54,001,644,676.77/267,267.83
  6. Step 6: Final answer
    x = 202,050.68

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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.