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Finding the Fourth Proportional to 142,898.53, 214,347.89 and 36,290.48

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Solution

The fourth proportional to 142,898.53, 214,347.89 and 36,290.48 is: 54,435.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,898.53 : 214,347.89 = 36,290.48 : x
  2. Step 2: Convert to fraction form
    142,898.53/214,347.89 = 36,290.48/x
  3. Step 3: Cross multiply
    142,898.53x = 214,347.89 × 36,290.48
  4. Step 4: Simplify right side
    142,898.53x = 7,778,788,260.23
  5. Step 5: Solve for x
    x = 7,778,788,260.23/142,898.53
  6. Step 6: Final answer
    x = 54,435.75

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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.