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Finding the Fourth Proportional to 157,314.15, 235,893.96 and 67,344.14

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Solution

The fourth proportional to 157,314.15, 235,893.96 and 67,344.14 is: 100,983.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,314.15 : 235,893.96 = 67,344.14 : x
  2. Step 2: Convert to fraction form
    157,314.15/235,893.96 = 67,344.14/x
  3. Step 3: Cross multiply
    157,314.15x = 235,893.96 × 67,344.14
  4. Step 4: Simplify right side
    157,314.15x = 15,886,076,457.13
  5. Step 5: Solve for x
    x = 15,886,076,457.13/157,314.15
  6. Step 6: Final answer
    x = 100,983.14

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Why These Related Problems?

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