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Finding the Fourth Proportional to 226,772.04, 340,041.42 and 102,045

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Solution

The fourth proportional to 226,772.04, 340,041.42 and 102,045 is: 153,015.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,772.04 : 340,041.42 = 102,045 : x
  2. Step 2: Convert to fraction form
    226,772.04/340,041.42 = 102,045/x
  3. Step 3: Cross multiply
    226,772.04x = 340,041.42 × 102,045
  4. Step 4: Simplify right side
    226,772.04x = 34,699,526,703.90
  5. Step 5: Solve for x
    x = 34,699,526,703.90/226,772.04
  6. Step 6: Final answer
    x = 153,015.01

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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.