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Finding the Fourth Proportional to 200,812.20, 277,409.20 and 160,473.12

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Solution

The fourth proportional to 200,812.20, 277,409.20 and 160,473.12 is: 221,683.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,812.20 : 277,409.20 = 160,473.12 : x
  2. Step 2: Convert to fraction form
    200,812.20/277,409.20 = 160,473.12/x
  3. Step 3: Cross multiply
    200,812.20x = 277,409.20 × 160,473.12
  4. Step 4: Simplify right side
    200,812.20x = 44,516,719,840.70
  5. Step 5: Solve for x
    x = 44,516,719,840.70/200,812.20
  6. Step 6: Final answer
    x = 221,683.34

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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.