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Finding the Fourth Proportional to 147,794.58, 221,702.82 and 47,970.81

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Solution

The fourth proportional to 147,794.58, 221,702.82 and 47,970.81 is: 71,959.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,794.58 : 221,702.82 = 47,970.81 : x
  2. Step 2: Convert to fraction form
    147,794.58/221,702.82 = 47,970.81/x
  3. Step 3: Cross multiply
    147,794.58x = 221,702.82 × 47,970.81
  4. Step 4: Simplify right side
    147,794.58x = 10,635,263,854.68
  5. Step 5: Solve for x
    x = 10,635,263,854.68/147,794.58
  6. Step 6: Final answer
    x = 71,959.77

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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.