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Finding the Fourth Proportional to 206,838.70, 310,258.05 and 128,106.70

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Solution

The fourth proportional to 206,838.70, 310,258.05 and 128,106.70 is: 192,160.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,838.70 : 310,258.05 = 128,106.70 : x
  2. Step 2: Convert to fraction form
    206,838.70/310,258.05 = 128,106.70/x
  3. Step 3: Cross multiply
    206,838.70x = 310,258.05 × 128,106.70
  4. Step 4: Simplify right side
    206,838.70x = 39,746,134,933.94
  5. Step 5: Solve for x
    x = 39,746,134,933.94/206,838.70
  6. Step 6: Final answer
    x = 192,160.05

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1.5x scale

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.