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Finding the Fourth Proportional to 224,063.76, 309,141.66 and 133,347

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Solution

The fourth proportional to 224,063.76, 309,141.66 and 133,347 is: 183,979.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,063.76 : 309,141.66 = 133,347 : x
  2. Step 2: Convert to fraction form
    224,063.76/309,141.66 = 133,347/x
  3. Step 3: Cross multiply
    224,063.76x = 309,141.66 × 133,347
  4. Step 4: Simplify right side
    224,063.76x = 41,223,112,936.02
  5. Step 5: Solve for x
    x = 41,223,112,936.02/224,063.76
  6. Step 6: Final answer
    x = 183,979.39

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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.