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Finding the Fourth Proportional to 214,160.19, 295,503.61 and 122,237.51

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Solution

The fourth proportional to 214,160.19, 295,503.61 and 122,237.51 is: 168,666.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,160.19 : 295,503.61 = 122,237.51 : x
  2. Step 2: Convert to fraction form
    214,160.19/295,503.61 = 122,237.51/x
  3. Step 3: Cross multiply
    214,160.19x = 295,503.61 × 122,237.51
  4. Step 4: Simplify right side
    214,160.19x = 36,121,625,175.15
  5. Step 5: Solve for x
    x = 36,121,625,175.15/214,160.19
  6. Step 6: Final answer
    x = 168,666.38

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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.