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Finding the Fourth Proportional to 102,392.75, 141,297.45 and 57,075.68

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Solution

The fourth proportional to 102,392.75, 141,297.45 and 57,075.68 is: 78,761.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,392.75 : 141,297.45 = 57,075.68 : x
  2. Step 2: Convert to fraction form
    102,392.75/141,297.45 = 57,075.68/x
  3. Step 3: Cross multiply
    102,392.75x = 141,297.45 × 57,075.68
  4. Step 4: Simplify right side
    102,392.75x = 8,064,648,041.02
  5. Step 5: Solve for x
    x = 8,064,648,041.02/102,392.75
  6. Step 6: Final answer
    x = 78,761.90

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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.