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Finding the Fourth Proportional to 142,323.72, 196,407.32 and 77,794.26

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Solution

The fourth proportional to 142,323.72, 196,407.32 and 77,794.26 is: 107,356.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,323.72 : 196,407.32 = 77,794.26 : x
  2. Step 2: Convert to fraction form
    142,323.72/196,407.32 = 77,794.26/x
  3. Step 3: Cross multiply
    142,323.72x = 196,407.32 × 77,794.26
  4. Step 4: Simplify right side
    142,323.72x = 15,279,362,117.98
  5. Step 5: Solve for x
    x = 15,279,362,117.98/142,323.72
  6. Step 6: Final answer
    x = 107,356.40

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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.