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Finding the Fourth Proportional to 142,254.51, 196,308.93 and 77,722.37

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Solution

The fourth proportional to 142,254.51, 196,308.93 and 77,722.37 is: 107,255.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,254.51 : 196,308.93 = 77,722.37 : x
  2. Step 2: Convert to fraction form
    142,254.51/196,308.93 = 77,722.37/x
  3. Step 3: Cross multiply
    142,254.51x = 196,308.93 × 77,722.37
  4. Step 4: Simplify right side
    142,254.51x = 15,257,594,310.22
  5. Step 5: Solve for x
    x = 15,257,594,310.22/142,254.51
  6. Step 6: Final answer
    x = 107,255.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.