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Finding the Fourth Proportional to 201,344.40, 277,732.80 and 144,832.32

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Solution

The fourth proportional to 201,344.40, 277,732.80 and 144,832.32 is: 199,780.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,344.40 : 277,732.80 = 144,832.32 : x
  2. Step 2: Convert to fraction form
    201,344.40/277,732.80 = 144,832.32/x
  3. Step 3: Cross multiply
    201,344.40x = 277,732.80 × 144,832.32
  4. Step 4: Simplify right side
    201,344.40x = 40,224,685,764.10
  5. Step 5: Solve for x
    x = 40,224,685,764.10/201,344.40
  6. Step 6: Final answer
    x = 199,780.50

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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.