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Finding the Fourth Proportional to 102,370.34, 141,252.37 and 57,047.19

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Solution

The fourth proportional to 102,370.34, 141,252.37 and 57,047.19 is: 78,714.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,370.34 : 141,252.37 = 57,047.19 : x
  2. Step 2: Convert to fraction form
    102,370.34/141,252.37 = 57,047.19/x
  3. Step 3: Cross multiply
    102,370.34x = 141,252.37 × 57,047.19
  4. Step 4: Simplify right side
    102,370.34x = 8,058,050,646.72
  5. Step 5: Solve for x
    x = 8,058,050,646.72/102,370.34
  6. Step 6: Final answer
    x = 78,714.70

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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.