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Finding the Fourth Proportional to 164,041.62, 224,901 and 161,052.27

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Solution

The fourth proportional to 164,041.62, 224,901 and 161,052.27 is: 220,802.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,041.62 : 224,901 = 161,052.27 : x
  2. Step 2: Convert to fraction form
    164,041.62/224,901 = 161,052.27/x
  3. Step 3: Cross multiply
    164,041.62x = 224,901 × 161,052.27
  4. Step 4: Simplify right side
    164,041.62x = 36,220,816,575.27
  5. Step 5: Solve for x
    x = 36,220,816,575.27/164,041.62
  6. Step 6: Final answer
    x = 220,802.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.