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Finding the Fourth Proportional to 229,315.30, 343,454.55 and 136,003.30

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Solution

The fourth proportional to 229,315.30, 343,454.55 and 136,003.30 is: 203,697.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,315.30 : 343,454.55 = 136,003.30 : x
  2. Step 2: Convert to fraction form
    229,315.30/343,454.55 = 136,003.30/x
  3. Step 3: Cross multiply
    229,315.30x = 343,454.55 × 136,003.30
  4. Step 4: Simplify right side
    229,315.30x = 46,710,952,200.02
  5. Step 5: Solve for x
    x = 46,710,952,200.02/229,315.30
  6. Step 6: Final answer
    x = 203,697.50

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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.