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Finding the Fourth Proportional to 205,038.10, 307,787.55 and 158,497.30

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Solution

The fourth proportional to 205,038.10, 307,787.55 and 158,497.30 is: 237,924.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,038.10 : 307,787.55 = 158,497.30 : x
  2. Step 2: Convert to fraction form
    205,038.10/307,787.55 = 158,497.30/x
  3. Step 3: Cross multiply
    205,038.10x = 307,787.55 × 158,497.30
  4. Step 4: Simplify right side
    205,038.10x = 48,783,495,648.62
  5. Step 5: Solve for x
    x = 48,783,495,648.62/205,038.10
  6. Step 6: Final answer
    x = 237,924.05

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