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Finding the Fourth Proportional to 162,783.44, 244,258.52 and 77,490.82

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Solution

The fourth proportional to 162,783.44, 244,258.52 and 77,490.82 is: 116,275.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,783.44 : 244,258.52 = 77,490.82 : x
  2. Step 2: Convert to fraction form
    162,783.44/244,258.52 = 77,490.82/x
  3. Step 3: Cross multiply
    162,783.44x = 244,258.52 × 77,490.82
  4. Step 4: Simplify right side
    162,783.44x = 18,927,793,006.79
  5. Step 5: Solve for x
    x = 18,927,793,006.79/162,783.44
  6. Step 6: Final answer
    x = 116,275.91

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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.