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Finding the Fourth Proportional to 225,317.35, 310,953 and 129,830.23

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Solution

The fourth proportional to 225,317.35, 310,953 and 129,830.23 is: 179,174.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,317.35 : 310,953 = 129,830.23 : x
  2. Step 2: Convert to fraction form
    225,317.35/310,953 = 129,830.23/x
  3. Step 3: Cross multiply
    225,317.35x = 310,953 × 129,830.23
  4. Step 4: Simplify right side
    225,317.35x = 40,371,099,509.19
  5. Step 5: Solve for x
    x = 40,371,099,509.19/225,317.35
  6. Step 6: Final answer
    x = 179,174.39

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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.