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Finding the Fourth Proportional to 280,045.26, 386,485.38 and 159,224.46

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Solution

The fourth proportional to 280,045.26, 386,485.38 and 159,224.46 is: 219,742.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,045.26 : 386,485.38 = 159,224.46 : x
  2. Step 2: Convert to fraction form
    280,045.26/386,485.38 = 159,224.46/x
  3. Step 3: Cross multiply
    280,045.26x = 386,485.38 × 159,224.46
  4. Step 4: Simplify right side
    280,045.26x = 61,537,925,928.39
  5. Step 5: Solve for x
    x = 61,537,925,928.39/280,045.26
  6. Step 6: Final answer
    x = 219,742.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.