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Finding the Fourth Proportional to 316,121.80, 474,083.98 and 105,710.60

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Solution

The fourth proportional to 316,121.80, 474,083.98 and 105,710.60 is: 158,532.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,121.80 : 474,083.98 = 105,710.60 : x
  2. Step 2: Convert to fraction form
    316,121.80/474,083.98 = 105,710.60/x
  3. Step 3: Cross multiply
    316,121.80x = 474,083.98 × 105,710.60
  4. Step 4: Simplify right side
    316,121.80x = 50,115,701,976.19
  5. Step 5: Solve for x
    x = 50,115,701,976.19/316,121.80
  6. Step 6: Final answer
    x = 158,532.89

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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.