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Finding the Fourth Proportional to 92,214.70, 138,322.05 and 86,674.30

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Solution

The fourth proportional to 92,214.70, 138,322.05 and 86,674.30 is: 130,011.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,214.70 : 138,322.05 = 86,674.30 : x
  2. Step 2: Convert to fraction form
    92,214.70/138,322.05 = 86,674.30/x
  3. Step 3: Cross multiply
    92,214.70x = 138,322.05 × 86,674.30
  4. Step 4: Simplify right side
    92,214.70x = 11,988,966,858.32
  5. Step 5: Solve for x
    x = 11,988,966,858.32/92,214.70
  6. Step 6: Final answer
    x = 130,011.45

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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.