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Finding the Fourth Proportional to 224,059.04, 309,186.96 and 123,457.04

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Solution

The fourth proportional to 224,059.04, 309,186.96 and 123,457.04 is: 170,362.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,059.04 : 309,186.96 = 123,457.04 : x
  2. Step 2: Convert to fraction form
    224,059.04/309,186.96 = 123,457.04/x
  3. Step 3: Cross multiply
    224,059.04x = 309,186.96 × 123,457.04
  4. Step 4: Simplify right side
    224,059.04x = 38,171,306,888.20
  5. Step 5: Solve for x
    x = 38,171,306,888.20/224,059.04
  6. Step 6: Final answer
    x = 170,362.72

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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.