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Finding the Fourth Proportional to 157,110.92, 216,943.72 and 145,714

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Solution

The fourth proportional to 157,110.92, 216,943.72 and 145,714 is: 201,206.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,110.92 : 216,943.72 = 145,714 : x
  2. Step 2: Convert to fraction form
    157,110.92/216,943.72 = 145,714/x
  3. Step 3: Cross multiply
    157,110.92x = 216,943.72 × 145,714
  4. Step 4: Simplify right side
    157,110.92x = 31,611,737,216.08
  5. Step 5: Solve for x
    x = 31,611,737,216.08/157,110.92
  6. Step 6: Final answer
    x = 201,206.49

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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.