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Finding the Fourth Proportional to 118,720.81, 178,107.81 and 39,833.02

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Solution

The fourth proportional to 118,720.81, 178,107.81 and 39,833.02 is: 59,758.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,720.81 : 178,107.81 = 39,833.02 : x
  2. Step 2: Convert to fraction form
    118,720.81/178,107.81 = 39,833.02/x
  3. Step 3: Cross multiply
    118,720.81x = 178,107.81 × 39,833.02
  4. Step 4: Simplify right side
    118,720.81x = 7,094,571,957.89
  5. Step 5: Solve for x
    x = 7,094,571,957.89/118,720.81
  6. Step 6: Final answer
    x = 59,758.45

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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.