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Finding the Fourth Proportional to 261,382.50, 360,652.23 and 153,913.32

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Solution

The fourth proportional to 261,382.50, 360,652.23 and 153,913.32 is: 212,367.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,382.50 : 360,652.23 = 153,913.32 : x
  2. Step 2: Convert to fraction form
    261,382.50/360,652.23 = 153,913.32/x
  3. Step 3: Cross multiply
    261,382.50x = 360,652.23 × 153,913.32
  4. Step 4: Simplify right side
    261,382.50x = 55,509,182,084.70
  5. Step 5: Solve for x
    x = 55,509,182,084.70/261,382.50
  6. Step 6: Final answer
    x = 212,367.63

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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.