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Finding the Fourth Proportional to 229,378.64, 344,077.07 and 71,607.11

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Solution

The fourth proportional to 229,378.64, 344,077.07 and 71,607.11 is: 107,413.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,378.64 : 344,077.07 = 71,607.11 : x
  2. Step 2: Convert to fraction form
    229,378.64/344,077.07 = 71,607.11/x
  3. Step 3: Cross multiply
    229,378.64x = 344,077.07 × 71,607.11
  4. Step 4: Simplify right side
    229,378.64x = 24,638,362,521.55
  5. Step 5: Solve for x
    x = 24,638,362,521.55/229,378.64
  6. Step 6: Final answer
    x = 107,413.50

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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.