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Finding the Fourth Proportional to 142,186.74, 213,130.26 and 47,391.63

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Solution

The fourth proportional to 142,186.74, 213,130.26 and 47,391.63 is: 71,037.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,186.74 : 213,130.26 = 47,391.63 : x
  2. Step 2: Convert to fraction form
    142,186.74/213,130.26 = 47,391.63/x
  3. Step 3: Cross multiply
    142,186.74x = 213,130.26 × 47,391.63
  4. Step 4: Simplify right side
    142,186.74x = 10,100,590,423.72
  5. Step 5: Solve for x
    x = 10,100,590,423.72/142,186.74
  6. Step 6: Final answer
    x = 71,037.50

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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.