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Finding the Fourth Proportional to 153,980.10, 230,994.45 and 48,809.70

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Solution

The fourth proportional to 153,980.10, 230,994.45 and 48,809.70 is: 73,222.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,980.10 : 230,994.45 = 48,809.70 : x
  2. Step 2: Convert to fraction form
    153,980.10/230,994.45 = 48,809.70/x
  3. Step 3: Cross multiply
    153,980.10x = 230,994.45 × 48,809.70
  4. Step 4: Simplify right side
    153,980.10x = 11,274,769,806.17
  5. Step 5: Solve for x
    x = 11,274,769,806.17/153,980.10
  6. Step 6: Final answer
    x = 73,222.25

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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.