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Finding the Fourth Proportional to 143,075.76, 197,447.02 and 78,551

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Solution

The fourth proportional to 143,075.76, 197,447.02 and 78,551 is: 108,401.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,075.76 : 197,447.02 = 78,551 : x
  2. Step 2: Convert to fraction form
    143,075.76/197,447.02 = 78,551/x
  3. Step 3: Cross multiply
    143,075.76x = 197,447.02 × 78,551
  4. Step 4: Simplify right side
    143,075.76x = 15,509,660,868.02
  5. Step 5: Solve for x
    x = 15,509,660,868.02/143,075.76
  6. Step 6: Final answer
    x = 108,401.74

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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.