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Finding the Fourth Proportional to 130,206.34, 179,703.90 and 82,464.13

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Solution

The fourth proportional to 130,206.34, 179,703.90 and 82,464.13 is: 113,812.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,206.34 : 179,703.90 = 82,464.13 : x
  2. Step 2: Convert to fraction form
    130,206.34/179,703.90 = 82,464.13/x
  3. Step 3: Cross multiply
    130,206.34x = 179,703.90 × 82,464.13
  4. Step 4: Simplify right side
    130,206.34x = 14,819,125,771.11
  5. Step 5: Solve for x
    x = 14,819,125,771.11/130,206.34
  6. Step 6: Final answer
    x = 113,812.63

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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.