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Finding the Fourth Proportional to 150,045.41, 224,818.20 and 105,578.74

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Solution

The fourth proportional to 150,045.41, 224,818.20 and 105,578.74 is: 158,192.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,045.41 : 224,818.20 = 105,578.74 : x
  2. Step 2: Convert to fraction form
    150,045.41/224,818.20 = 105,578.74/x
  3. Step 3: Cross multiply
    150,045.41x = 224,818.20 × 105,578.74
  4. Step 4: Simplify right side
    150,045.41x = 23,736,022,566.09
  5. Step 5: Solve for x
    x = 23,736,022,566.09/150,045.41
  6. Step 6: Final answer
    x = 158,192.26

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1.5x scale

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.