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Finding the Fourth Proportional to 102,048.16, 140,825.52 and 56,725

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Solution

The fourth proportional to 102,048.16, 140,825.52 and 56,725 is: 78,279.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,048.16 : 140,825.52 = 56,725 : x
  2. Step 2: Convert to fraction form
    102,048.16/140,825.52 = 56,725/x
  3. Step 3: Cross multiply
    102,048.16x = 140,825.52 × 56,725
  4. Step 4: Simplify right side
    102,048.16x = 7,988,327,622.00
  5. Step 5: Solve for x
    x = 7,988,327,622.00/102,048.16
  6. Step 6: Final answer
    x = 78,279.98

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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.