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Finding the Fourth Proportional to 201,632.64, 277,787.20 and 144,945.92

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Solution

The fourth proportional to 201,632.64, 277,787.20 and 144,945.92 is: 199,690.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,632.64 : 277,787.20 = 144,945.92 : x
  2. Step 2: Convert to fraction form
    201,632.64/277,787.20 = 144,945.92/x
  3. Step 3: Cross multiply
    201,632.64x = 277,787.20 × 144,945.92
  4. Step 4: Simplify right side
    201,632.64x = 40,264,121,268.22
  5. Step 5: Solve for x
    x = 40,264,121,268.22/201,632.64
  6. Step 6: Final answer
    x = 199,690.49

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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.