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Finding the Fourth Proportional to 119,015.42, 164,246.42 and 71,259.65

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Solution

The fourth proportional to 119,015.42, 164,246.42 and 71,259.65 is: 98,341.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,015.42 : 164,246.42 = 71,259.65 : x
  2. Step 2: Convert to fraction form
    119,015.42/164,246.42 = 71,259.65/x
  3. Step 3: Cross multiply
    119,015.42x = 164,246.42 × 71,259.65
  4. Step 4: Simplify right side
    119,015.42x = 11,704,141,225.42
  5. Step 5: Solve for x
    x = 11,704,141,225.42/119,015.42
  6. Step 6: Final answer
    x = 98,341.38

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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.