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Finding the Fourth Proportional to 224,302.69, 309,502.20 and 133,656.40

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Solution

The fourth proportional to 224,302.69, 309,502.20 and 133,656.40 is: 184,424.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,302.69 : 309,502.20 = 133,656.40 : x
  2. Step 2: Convert to fraction form
    224,302.69/309,502.20 = 133,656.40/x
  3. Step 3: Cross multiply
    224,302.69x = 309,502.20 × 133,656.40
  4. Step 4: Simplify right side
    224,302.69x = 41,366,949,844.08
  5. Step 5: Solve for x
    x = 41,366,949,844.08/224,302.69
  6. Step 6: Final answer
    x = 184,424.67

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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.