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Finding the Fourth Proportional to 226,931.72, 340,448.13 and 69,172.47

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Solution

The fourth proportional to 226,931.72, 340,448.13 and 69,172.47 is: 103,774.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,931.72 : 340,448.13 = 69,172.47 : x
  2. Step 2: Convert to fraction form
    226,931.72/340,448.13 = 69,172.47/x
  3. Step 3: Cross multiply
    226,931.72x = 340,448.13 × 69,172.47
  4. Step 4: Simplify right side
    226,931.72x = 23,549,638,058.98
  5. Step 5: Solve for x
    x = 23,549,638,058.98/226,931.72
  6. Step 6: Final answer
    x = 103,774.12

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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.