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Finding the Fourth Proportional to 224,068.06, 309,212.40 and 123,466.06

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Solution

The fourth proportional to 224,068.06, 309,212.40 and 123,466.06 is: 170,382.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,068.06 : 309,212.40 = 123,466.06 : x
  2. Step 2: Convert to fraction form
    224,068.06/309,212.40 = 123,466.06/x
  3. Step 3: Cross multiply
    224,068.06x = 309,212.40 × 123,466.06
  4. Step 4: Simplify right side
    224,068.06x = 38,177,236,731.14
  5. Step 5: Solve for x
    x = 38,177,236,731.14/224,068.06
  6. Step 6: Final answer
    x = 170,382.32

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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.