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Finding the Fourth Proportional to 142,103.52, 213,094.44 and 53,295.48

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Solution

The fourth proportional to 142,103.52, 213,094.44 and 53,295.48 is: 79,920.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,103.52 : 213,094.44 = 53,295.48 : x
  2. Step 2: Convert to fraction form
    142,103.52/213,094.44 = 53,295.48/x
  3. Step 3: Cross multiply
    142,103.52x = 213,094.44 × 53,295.48
  4. Step 4: Simplify right side
    142,103.52x = 11,356,970,465.13
  5. Step 5: Solve for x
    x = 11,356,970,465.13/142,103.52
  6. Step 6: Final answer
    x = 79,920.40

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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.