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Finding the Fourth Proportional to 224,191.50, 309,390.75 and 123,595.98

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Solution

The fourth proportional to 224,191.50, 309,390.75 and 123,595.98 is: 170,566.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,191.50 : 309,390.75 = 123,595.98 : x
  2. Step 2: Convert to fraction form
    224,191.50/309,390.75 = 123,595.98/x
  3. Step 3: Cross multiply
    224,191.50x = 309,390.75 × 123,595.98
  4. Step 4: Simplify right side
    224,191.50x = 38,239,452,949.19
  5. Step 5: Solve for x
    x = 38,239,452,949.19/224,191.50
  6. Step 6: Final answer
    x = 170,566.02

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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.