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Finding the Fourth Proportional to 153,854, 212,318.79 and 86,786

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Solution

The fourth proportional to 153,854, 212,318.79 and 86,786 is: 119,764.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,854 : 212,318.79 = 86,786 : x
  2. Step 2: Convert to fraction form
    153,854/212,318.79 = 86,786/x
  3. Step 3: Cross multiply
    153,854x = 212,318.79 × 86,786
  4. Step 4: Simplify right side
    153,854x = 18,426,298,508.94
  5. Step 5: Solve for x
    x = 18,426,298,508.94/153,854
  6. Step 6: Final answer
    x = 119,764.83

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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.