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Finding the Fourth Proportional to 224,295.63, 309,527.91 and 123,693.63

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Solution

The fourth proportional to 224,295.63, 309,527.91 and 123,693.63 is: 170,697.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,295.63 : 309,527.91 = 123,693.63 : x
  2. Step 2: Convert to fraction form
    224,295.63/309,527.91 = 123,693.63/x
  3. Step 3: Cross multiply
    224,295.63x = 309,527.91 × 123,693.63
  4. Step 4: Simplify right side
    224,295.63x = 38,286,630,774.21
  5. Step 5: Solve for x
    x = 38,286,630,774.21/224,295.63
  6. Step 6: Final answer
    x = 170,697.18

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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.