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Finding the Fourth Proportional to 151,277.40, 226,964.70 and 101,413.80

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Solution

The fourth proportional to 151,277.40, 226,964.70 and 101,413.80 is: 152,153.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,277.40 : 226,964.70 = 101,413.80 : x
  2. Step 2: Convert to fraction form
    151,277.40/226,964.70 = 101,413.80/x
  3. Step 3: Cross multiply
    151,277.40x = 226,964.70 × 101,413.80
  4. Step 4: Simplify right side
    151,277.40x = 23,017,352,692.86
  5. Step 5: Solve for x
    x = 23,017,352,692.86/151,277.40
  6. Step 6: Final answer
    x = 152,153.28

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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.