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Finding the Fourth Proportional to 252,347.16, 378,621.72 and 102,598.96

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Solution

The fourth proportional to 252,347.16, 378,621.72 and 102,598.96 is: 153,939.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,347.16 : 378,621.72 = 102,598.96 : x
  2. Step 2: Convert to fraction form
    252,347.16/378,621.72 = 102,598.96/x
  3. Step 3: Cross multiply
    252,347.16x = 378,621.72 × 102,598.96
  4. Step 4: Simplify right side
    252,347.16x = 38,846,194,705.41
  5. Step 5: Solve for x
    x = 38,846,194,705.41/252,347.16
  6. Step 6: Final answer
    x = 153,939.50

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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.