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Finding the Fourth Proportional to 102,141.68, 153,283 and 35,582.36

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Solution

The fourth proportional to 102,141.68, 153,283 and 35,582.36 is: 53,398.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,141.68 : 153,283 = 35,582.36 : x
  2. Step 2: Convert to fraction form
    102,141.68/153,283 = 35,582.36/x
  3. Step 3: Cross multiply
    102,141.68x = 153,283 × 35,582.36
  4. Step 4: Simplify right side
    102,141.68x = 5,454,170,887.88
  5. Step 5: Solve for x
    x = 5,454,170,887.88/102,141.68
  6. Step 6: Final answer
    x = 53,398.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.