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Finding the Fourth Proportional to 103,970.20, 155,663.70 and 101,054.20

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Solution

The fourth proportional to 103,970.20, 155,663.70 and 101,054.20 is: 151,297.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,970.20 : 155,663.70 = 101,054.20 : x
  2. Step 2: Convert to fraction form
    103,970.20/155,663.70 = 101,054.20/x
  3. Step 3: Cross multiply
    103,970.20x = 155,663.70 × 101,054.20
  4. Step 4: Simplify right side
    103,970.20x = 15,730,470,672.54
  5. Step 5: Solve for x
    x = 15,730,470,672.54/103,970.20
  6. Step 6: Final answer
    x = 151,297.88

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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.