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Finding the Fourth Proportional to 142,075.76, 196,058.81 and 78,412.73

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Solution

The fourth proportional to 142,075.76, 196,058.81 and 78,412.73 is: 108,206.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,075.76 : 196,058.81 = 78,412.73 : x
  2. Step 2: Convert to fraction form
    142,075.76/196,058.81 = 78,412.73/x
  3. Step 3: Cross multiply
    142,075.76x = 196,058.81 × 78,412.73
  4. Step 4: Simplify right side
    142,075.76x = 15,373,505,748.39
  5. Step 5: Solve for x
    x = 15,373,505,748.39/142,075.76
  6. Step 6: Final answer
    x = 108,206.40

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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.