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Finding the Fourth Proportional to 134,351.42, 201,504.47 and 38,281.86

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Solution

The fourth proportional to 134,351.42, 201,504.47 and 38,281.86 is: 57,416.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,351.42 : 201,504.47 = 38,281.86 : x
  2. Step 2: Convert to fraction form
    134,351.42/201,504.47 = 38,281.86/x
  3. Step 3: Cross multiply
    134,351.42x = 201,504.47 × 38,281.86
  4. Step 4: Simplify right side
    134,351.42x = 7,713,965,718.50
  5. Step 5: Solve for x
    x = 7,713,965,718.50/134,351.42
  6. Step 6: Final answer
    x = 57,416.33

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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.