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Finding the Fourth Proportional to 297,186.50, 410,124.57 and 163,050.50

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Solution

The fourth proportional to 297,186.50, 410,124.57 and 163,050.50 is: 225,013.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,186.50 : 410,124.57 = 163,050.50 : x
  2. Step 2: Convert to fraction form
    297,186.50/410,124.57 = 163,050.50/x
  3. Step 3: Cross multiply
    297,186.50x = 410,124.57 × 163,050.50
  4. Step 4: Simplify right side
    297,186.50x = 66,871,016,200.79
  5. Step 5: Solve for x
    x = 66,871,016,200.79/297,186.50
  6. Step 6: Final answer
    x = 225,013.64

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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.