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Finding the Fourth Proportional to 102,352.40, 141,242.30 and 57,029.22

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Solution

The fourth proportional to 102,352.40, 141,242.30 and 57,029.22 is: 78,698.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,352.40 : 141,242.30 = 57,029.22 : x
  2. Step 2: Convert to fraction form
    102,352.40/141,242.30 = 57,029.22/x
  3. Step 3: Cross multiply
    102,352.40x = 141,242.30 × 57,029.22
  4. Step 4: Simplify right side
    102,352.40x = 8,054,938,200.01
  5. Step 5: Solve for x
    x = 8,054,938,200.01/102,352.40
  6. Step 6: Final answer
    x = 78,698.09

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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.