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Finding the Fourth Proportional to 188,566.74, 260,226.51 and 102,530.61

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Solution

The fourth proportional to 188,566.74, 260,226.51 and 102,530.61 is: 141,494.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,566.74 : 260,226.51 = 102,530.61 : x
  2. Step 2: Convert to fraction form
    188,566.74/260,226.51 = 102,530.61/x
  3. Step 3: Cross multiply
    188,566.74x = 260,226.51 × 102,530.61
  4. Step 4: Simplify right side
    188,566.74x = 26,681,182,808.47
  5. Step 5: Solve for x
    x = 26,681,182,808.47/188,566.74
  6. Step 6: Final answer
    x = 141,494.64

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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.