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Finding the Fourth Proportional to 102,055.56, 153,135.12 and 45,884.28

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Solution

The fourth proportional to 102,055.56, 153,135.12 and 45,884.28 is: 68,849.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,055.56 : 153,135.12 = 45,884.28 : x
  2. Step 2: Convert to fraction form
    102,055.56/153,135.12 = 45,884.28/x
  3. Step 3: Cross multiply
    102,055.56x = 153,135.12 × 45,884.28
  4. Step 4: Simplify right side
    102,055.56x = 7,026,494,723.91
  5. Step 5: Solve for x
    x = 7,026,494,723.91/102,055.56
  6. Step 6: Final answer
    x = 68,849.70

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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.