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Finding the Fourth Proportional to 209,624.64, 289,474.20 and 133,168.32

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Solution

The fourth proportional to 209,624.64, 289,474.20 and 133,168.32 is: 183,894.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,624.64 : 289,474.20 = 133,168.32 : x
  2. Step 2: Convert to fraction form
    209,624.64/289,474.20 = 133,168.32/x
  3. Step 3: Cross multiply
    209,624.64x = 289,474.20 × 133,168.32
  4. Step 4: Simplify right side
    209,624.64x = 38,548,792,897.34
  5. Step 5: Solve for x
    x = 38,548,792,897.34/209,624.64
  6. Step 6: Final answer
    x = 183,894.38

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1.5x scale

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.