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Finding the Fourth Proportional to 100,582.38, 138,828.63 and 58,165.50

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Solution

The fourth proportional to 100,582.38, 138,828.63 and 58,165.50 is: 80,282.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,582.38 : 138,828.63 = 58,165.50 : x
  2. Step 2: Convert to fraction form
    100,582.38/138,828.63 = 58,165.50/x
  3. Step 3: Cross multiply
    100,582.38x = 138,828.63 × 58,165.50
  4. Step 4: Simplify right side
    100,582.38x = 8,075,036,678.27
  5. Step 5: Solve for x
    x = 8,075,036,678.27/100,582.38
  6. Step 6: Final answer
    x = 80,282.82

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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.