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Finding the Fourth Proportional to 229,141.84, 343,630.74 and 79,341.90

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Solution

The fourth proportional to 229,141.84, 343,630.74 and 79,341.90 is: 118,984.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,141.84 : 343,630.74 = 79,341.90 : x
  2. Step 2: Convert to fraction form
    229,141.84/343,630.74 = 79,341.90/x
  3. Step 3: Cross multiply
    229,141.84x = 343,630.74 × 79,341.90
  4. Step 4: Simplify right side
    229,141.84x = 27,264,315,413.30
  5. Step 5: Solve for x
    x = 27,264,315,413.30/229,141.84
  6. Step 6: Final answer
    x = 118,984.45

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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.