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Finding the Fourth Proportional to 142,702.48, 214,063.69 and 57,313.34

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Solution

The fourth proportional to 142,702.48, 214,063.69 and 57,313.34 is: 85,974.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,702.48 : 214,063.69 = 57,313.34 : x
  2. Step 2: Convert to fraction form
    142,702.48/214,063.69 = 57,313.34/x
  3. Step 3: Cross multiply
    142,702.48x = 214,063.69 × 57,313.34
  4. Step 4: Simplify right side
    142,702.48x = 12,268,704,635.76
  5. Step 5: Solve for x
    x = 12,268,704,635.76/142,702.48
  6. Step 6: Final answer
    x = 85,974.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.