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Finding the Fourth Proportional to 131,952.91, 182,090.58 and 78,206.02

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Solution

The fourth proportional to 131,952.91, 182,090.58 and 78,206.02 is: 107,921.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,952.91 : 182,090.58 = 78,206.02 : x
  2. Step 2: Convert to fraction form
    131,952.91/182,090.58 = 78,206.02/x
  3. Step 3: Cross multiply
    131,952.91x = 182,090.58 × 78,206.02
  4. Step 4: Simplify right side
    131,952.91x = 14,240,579,541.29
  5. Step 5: Solve for x
    x = 14,240,579,541.29/131,952.91
  6. Step 6: Final answer
    x = 107,921.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.