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Finding the Fourth Proportional to 214,561.67, 295,417.40 and 188,973.77

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Solution

The fourth proportional to 214,561.67, 295,417.40 and 188,973.77 is: 260,186.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,561.67 : 295,417.40 = 188,973.77 : x
  2. Step 2: Convert to fraction form
    214,561.67/295,417.40 = 188,973.77/x
  3. Step 3: Cross multiply
    214,561.67x = 295,417.40 × 188,973.77
  4. Step 4: Simplify right side
    214,561.67x = 55,826,137,379.64
  5. Step 5: Solve for x
    x = 55,826,137,379.64/214,561.67
  6. Step 6: Final answer
    x = 260,186.91

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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.