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Finding the Fourth Proportional to 224,329.50, 309,596.58 and 123,727.50

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Solution

The fourth proportional to 224,329.50, 309,596.58 and 123,727.50 is: 170,756.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,329.50 : 309,596.58 = 123,727.50 : x
  2. Step 2: Convert to fraction form
    224,329.50/309,596.58 = 123,727.50/x
  3. Step 3: Cross multiply
    224,329.50x = 309,596.58 × 123,727.50
  4. Step 4: Simplify right side
    224,329.50x = 38,305,610,851.95
  5. Step 5: Solve for x
    x = 38,305,610,851.95/224,329.50
  6. Step 6: Final answer
    x = 170,756.01

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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.