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Finding the Fourth Proportional to 147,505.98, 203,505.76 and 87,046.36

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Solution

The fourth proportional to 147,505.98, 203,505.76 and 87,046.36 is: 120,093.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,505.98 : 203,505.76 = 87,046.36 : x
  2. Step 2: Convert to fraction form
    147,505.98/203,505.76 = 87,046.36/x
  3. Step 3: Cross multiply
    147,505.98x = 203,505.76 × 87,046.36
  4. Step 4: Simplify right side
    147,505.98x = 17,714,435,647.03
  5. Step 5: Solve for x
    x = 17,714,435,647.03/147,505.98
  6. Step 6: Final answer
    x = 120,093.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.