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Finding the Fourth Proportional to 119,281.74, 178,878.72 and 35,020.26

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Solution

The fourth proportional to 119,281.74, 178,878.72 and 35,020.26 is: 52,517.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,281.74 : 178,878.72 = 35,020.26 : x
  2. Step 2: Convert to fraction form
    119,281.74/178,878.72 = 35,020.26/x
  3. Step 3: Cross multiply
    119,281.74x = 178,878.72 × 35,020.26
  4. Step 4: Simplify right side
    119,281.74x = 6,264,379,282.87
  5. Step 5: Solve for x
    x = 6,264,379,282.87/119,281.74
  6. Step 6: Final answer
    x = 52,517.50

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Why These Related Problems?

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