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Finding the Fourth Proportional to 159,878.61, 239,828.31 and 53,258.04

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Solution

The fourth proportional to 159,878.61, 239,828.31 and 53,258.04 is: 79,890.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,878.61 : 239,828.31 = 53,258.04 : x
  2. Step 2: Convert to fraction form
    159,878.61/239,828.31 = 53,258.04/x
  3. Step 3: Cross multiply
    159,878.61x = 239,828.31 × 53,258.04
  4. Step 4: Simplify right side
    159,878.61x = 12,772,785,727.11
  5. Step 5: Solve for x
    x = 12,772,785,727.11/159,878.61
  6. Step 6: Final answer
    x = 79,890.52

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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.