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Finding the Fourth Proportional to 102,171.13, 153,180.34 and 70,490.79

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Solution

The fourth proportional to 102,171.13, 153,180.34 and 70,490.79 is: 105,683.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,171.13 : 153,180.34 = 70,490.79 : x
  2. Step 2: Convert to fraction form
    102,171.13/153,180.34 = 70,490.79/x
  3. Step 3: Cross multiply
    102,171.13x = 153,180.34 × 70,490.79
  4. Step 4: Simplify right side
    102,171.13x = 10,797,802,583.46
  5. Step 5: Solve for x
    x = 10,797,802,583.46/102,171.13
  6. Step 6: Final answer
    x = 105,683.50

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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.