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Finding the Fourth Proportional to 135,252.96, 186,547.77 and 119,957.46

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Solution

The fourth proportional to 135,252.96, 186,547.77 and 119,957.46 is: 165,451.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,252.96 : 186,547.77 = 119,957.46 : x
  2. Step 2: Convert to fraction form
    135,252.96/186,547.77 = 119,957.46/x
  3. Step 3: Cross multiply
    135,252.96x = 186,547.77 × 119,957.46
  4. Step 4: Simplify right side
    135,252.96x = 22,377,796,657.86
  5. Step 5: Solve for x
    x = 22,377,796,657.86/135,252.96
  6. Step 6: Final answer
    x = 165,451.44

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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.