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Finding the Fourth Proportional to 189,064.96, 260,897.92 and 104,177.28

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Solution

The fourth proportional to 189,064.96, 260,897.92 and 104,177.28 is: 143,758.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,064.96 : 260,897.92 = 104,177.28 : x
  2. Step 2: Convert to fraction form
    189,064.96/260,897.92 = 104,177.28/x
  3. Step 3: Cross multiply
    189,064.96x = 260,897.92 × 104,177.28
  4. Step 4: Simplify right side
    189,064.96x = 27,179,635,663.26
  5. Step 5: Solve for x
    x = 27,179,635,663.26/189,064.96
  6. Step 6: Final answer
    x = 143,758.19

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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.