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Finding the Fourth Proportional to 125,743.84, 188,498.58 and 86,319.52

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Solution

The fourth proportional to 125,743.84, 188,498.58 and 86,319.52 is: 129,398.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,743.84 : 188,498.58 = 86,319.52 : x
  2. Step 2: Convert to fraction form
    125,743.84/188,498.58 = 86,319.52/x
  3. Step 3: Cross multiply
    125,743.84x = 188,498.58 × 86,319.52
  4. Step 4: Simplify right side
    125,743.84x = 16,271,106,946.28
  5. Step 5: Solve for x
    x = 16,271,106,946.28/125,743.84
  6. Step 6: Final answer
    x = 129,398.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.