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Finding the Fourth Proportional to 273,295.90, 410,116.65 and 160,975.90

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Solution

The fourth proportional to 273,295.90, 410,116.65 and 160,975.90 is: 241,565.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,295.90 : 410,116.65 = 160,975.90 : x
  2. Step 2: Convert to fraction form
    273,295.90/410,116.65 = 160,975.90/x
  3. Step 3: Cross multiply
    273,295.90x = 410,116.65 × 160,975.90
  4. Step 4: Simplify right side
    273,295.90x = 66,018,896,838.74
  5. Step 5: Solve for x
    x = 66,018,896,838.74/273,295.90
  6. Step 6: Final answer
    x = 241,565.63

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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.