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Finding the Fourth Proportional to 295,746.50, 408,130.36 and 159,780.38

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Solution

The fourth proportional to 295,746.50, 408,130.36 and 159,780.38 is: 220,497.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,746.50 : 408,130.36 = 159,780.38 : x
  2. Step 2: Convert to fraction form
    295,746.50/408,130.36 = 159,780.38/x
  3. Step 3: Cross multiply
    295,746.50x = 408,130.36 × 159,780.38
  4. Step 4: Simplify right side
    295,746.50x = 65,211,221,570.23
  5. Step 5: Solve for x
    x = 65,211,221,570.23/295,746.50
  6. Step 6: Final answer
    x = 220,497.02

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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.