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Finding the Fourth Proportional to 188,415.72, 260,011.76 and 103,530.96

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Solution

The fourth proportional to 188,415.72, 260,011.76 and 103,530.96 is: 142,871.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,415.72 : 260,011.76 = 103,530.96 : x
  2. Step 2: Convert to fraction form
    188,415.72/260,011.76 = 103,530.96/x
  3. Step 3: Cross multiply
    188,415.72x = 260,011.76 × 103,530.96
  4. Step 4: Simplify right side
    188,415.72x = 26,919,266,606.43
  5. Step 5: Solve for x
    x = 26,919,266,606.43/188,415.72
  6. Step 6: Final answer
    x = 142,871.66

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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.