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Finding the Fourth Proportional to 224,492.19, 309,838.73 and 133,853.73

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Solution

The fourth proportional to 224,492.19, 309,838.73 and 133,853.73 is: 184,741.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,492.19 : 309,838.73 = 133,853.73 : x
  2. Step 2: Convert to fraction form
    224,492.19/309,838.73 = 133,853.73/x
  3. Step 3: Cross multiply
    224,492.19x = 309,838.73 × 133,853.73
  4. Step 4: Simplify right side
    224,492.19x = 41,473,069,708.96
  5. Step 5: Solve for x
    x = 41,473,069,708.96/224,492.19
  6. Step 6: Final answer
    x = 184,741.70

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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.