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Finding the Fourth Proportional to 224,216.08, 309,416.14 and 123,614.08

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Solution

The fourth proportional to 224,216.08, 309,416.14 and 123,614.08 is: 170,586.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,216.08 : 309,416.14 = 123,614.08 : x
  2. Step 2: Convert to fraction form
    224,216.08/309,416.14 = 123,614.08/x
  3. Step 3: Cross multiply
    224,216.08x = 309,416.14 × 123,614.08
  4. Step 4: Simplify right side
    224,216.08x = 38,248,191,483.25
  5. Step 5: Solve for x
    x = 38,248,191,483.25/224,216.08
  6. Step 6: Final answer
    x = 170,586.30

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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.