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Finding the Fourth Proportional to 138,784.32, 208,152.80 and 50,020.16

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Solution

The fourth proportional to 138,784.32, 208,152.80 and 50,020.16 is: 75,021.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,784.32 : 208,152.80 = 50,020.16 : x
  2. Step 2: Convert to fraction form
    138,784.32/208,152.80 = 50,020.16/x
  3. Step 3: Cross multiply
    138,784.32x = 208,152.80 × 50,020.16
  4. Step 4: Simplify right side
    138,784.32x = 10,411,836,360.45
  5. Step 5: Solve for x
    x = 10,411,836,360.45/138,784.32
  6. Step 6: Final answer
    x = 75,021.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.