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Finding the Fourth Proportional to 224,069.88, 309,219.66 and 123,465.72

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Solution

The fourth proportional to 224,069.88, 309,219.66 and 123,465.72 is: 170,384.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,069.88 : 309,219.66 = 123,465.72 : x
  2. Step 2: Convert to fraction form
    224,069.88/309,219.66 = 123,465.72/x
  3. Step 3: Cross multiply
    224,069.88x = 309,219.66 × 123,465.72
  4. Step 4: Simplify right side
    224,069.88x = 38,178,027,960.06
  5. Step 5: Solve for x
    x = 38,178,027,960.06/224,069.88
  6. Step 6: Final answer
    x = 170,384.47

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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.