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Finding the Fourth Proportional to 130,282.24, 179,789.44 and 70,666.24

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Solution

The fourth proportional to 130,282.24, 179,789.44 and 70,666.24 is: 97,519.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,282.24 : 179,789.44 = 70,666.24 : x
  2. Step 2: Convert to fraction form
    130,282.24/179,789.44 = 70,666.24/x
  3. Step 3: Cross multiply
    130,282.24x = 179,789.44 × 70,666.24
  4. Step 4: Simplify right side
    130,282.24x = 12,705,043,716.51
  5. Step 5: Solve for x
    x = 12,705,043,716.51/130,282.24
  6. Step 6: Final answer
    x = 97,519.38

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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.