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Finding the Fourth Proportional to 118,710.41, 178,064.93 and 29,963.54

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Solution

The fourth proportional to 118,710.41, 178,064.93 and 29,963.54 is: 44,945.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,710.41 : 178,064.93 = 29,963.54 : x
  2. Step 2: Convert to fraction form
    118,710.41/178,064.93 = 29,963.54/x
  3. Step 3: Cross multiply
    118,710.41x = 178,064.93 × 29,963.54
  4. Step 4: Simplify right side
    118,710.41x = 5,335,455,502.83
  5. Step 5: Solve for x
    x = 5,335,455,502.83/118,710.41
  6. Step 6: Final answer
    x = 44,945.14

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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.