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Finding the Fourth Proportional to 102,580.70, 153,849.45 and 43,418.30

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Solution

The fourth proportional to 102,580.70, 153,849.45 and 43,418.30 is: 65,118.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,580.70 : 153,849.45 = 43,418.30 : x
  2. Step 2: Convert to fraction form
    102,580.70/153,849.45 = 43,418.30/x
  3. Step 3: Cross multiply
    102,580.70x = 153,849.45 × 43,418.30
  4. Step 4: Simplify right side
    102,580.70x = 6,679,881,574.94
  5. Step 5: Solve for x
    x = 6,679,881,574.94/102,580.70
  6. Step 6: Final answer
    x = 65,118.31

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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.