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Finding the Fourth Proportional to 224,029.32, 309,094.56 and 133,339.71

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Solution

The fourth proportional to 224,029.32, 309,094.56 and 133,339.71 is: 183,969.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,029.32 : 309,094.56 = 133,339.71 : x
  2. Step 2: Convert to fraction form
    224,029.32/309,094.56 = 133,339.71/x
  3. Step 3: Cross multiply
    224,029.32x = 309,094.56 × 133,339.71
  4. Step 4: Simplify right side
    224,029.32x = 41,214,578,992.98
  5. Step 5: Solve for x
    x = 41,214,578,992.98/224,029.32
  6. Step 6: Final answer
    x = 183,969.58

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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.