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Finding the Fourth Proportional to 160,206.39, 240,322.41 and 47,878.43

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Solution

The fourth proportional to 160,206.39, 240,322.41 and 47,878.43 is: 71,821.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,206.39 : 240,322.41 = 47,878.43 : x
  2. Step 2: Convert to fraction form
    160,206.39/240,322.41 = 47,878.43/x
  3. Step 3: Cross multiply
    160,206.39x = 240,322.41 × 47,878.43
  4. Step 4: Simplify right side
    160,206.39x = 11,506,258,483.00
  5. Step 5: Solve for x
    x = 11,506,258,483.00/160,206.39
  6. Step 6: Final answer
    x = 71,821.47

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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.