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Finding the Fourth Proportional to 142,054.77, 213,026.49 and 53,259.87

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Solution

The fourth proportional to 142,054.77, 213,026.49 and 53,259.87 is: 79,868.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,054.77 : 213,026.49 = 53,259.87 : x
  2. Step 2: Convert to fraction form
    142,054.77/213,026.49 = 53,259.87/x
  3. Step 3: Cross multiply
    142,054.77x = 213,026.49 × 53,259.87
  4. Step 4: Simplify right side
    142,054.77x = 11,345,763,163.96
  5. Step 5: Solve for x
    x = 11,345,763,163.96/142,054.77
  6. Step 6: Final answer
    x = 79,868.93

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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.