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Finding the Fourth Proportional to 257,170.96, 354,901.64 and 146,787.40

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Solution

The fourth proportional to 257,170.96, 354,901.64 and 146,787.40 is: 202,569.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,170.96 : 354,901.64 = 146,787.40 : x
  2. Step 2: Convert to fraction form
    257,170.96/354,901.64 = 146,787.40/x
  3. Step 3: Cross multiply
    257,170.96x = 354,901.64 × 146,787.40
  4. Step 4: Simplify right side
    257,170.96x = 52,095,088,991.34
  5. Step 5: Solve for x
    x = 52,095,088,991.34/257,170.96
  6. Step 6: Final answer
    x = 202,569.87

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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.