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Finding the Fourth Proportional to 224,319.34, 309,549.76 and 133,673.30

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Solution

The fourth proportional to 224,319.34, 309,549.76 and 133,673.30 is: 184,462.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,319.34 : 309,549.76 = 133,673.30 : x
  2. Step 2: Convert to fraction form
    224,319.34/309,549.76 = 133,673.30/x
  3. Step 3: Cross multiply
    224,319.34x = 309,549.76 × 133,673.30
  4. Step 4: Simplify right side
    224,319.34x = 41,378,537,933.41
  5. Step 5: Solve for x
    x = 41,378,537,933.41/224,319.34
  6. Step 6: Final answer
    x = 184,462.64

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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.