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Finding the Fourth Proportional to 150,124.50, 207,178.38 and 83,056.50

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Solution

The fourth proportional to 150,124.50, 207,178.38 and 83,056.50 is: 114,621.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,124.50 : 207,178.38 = 83,056.50 : x
  2. Step 2: Convert to fraction form
    150,124.50/207,178.38 = 83,056.50/x
  3. Step 3: Cross multiply
    150,124.50x = 207,178.38 × 83,056.50
  4. Step 4: Simplify right side
    150,124.50x = 17,207,511,118.47
  5. Step 5: Solve for x
    x = 17,207,511,118.47/150,124.50
  6. Step 6: Final answer
    x = 114,621.60

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1.5x scale

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.