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Finding the Fourth Proportional to 118,719.70, 178,050.75 and 39,813.46

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Solution

The fourth proportional to 118,719.70, 178,050.75 and 39,813.46 is: 59,710.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,719.70 : 178,050.75 = 39,813.46 : x
  2. Step 2: Convert to fraction form
    118,719.70/178,050.75 = 39,813.46/x
  3. Step 3: Cross multiply
    118,719.70x = 178,050.75 × 39,813.46
  4. Step 4: Simplify right side
    118,719.70x = 7,088,816,413.10
  5. Step 5: Solve for x
    x = 7,088,816,413.10/118,719.70
  6. Step 6: Final answer
    x = 59,710.53

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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.