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Finding the Fourth Proportional to 224,424.75, 309,706.16 and 123,822.75

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Solution

The fourth proportional to 224,424.75, 309,706.16 and 123,822.75 is: 170,875.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,424.75 : 309,706.16 = 123,822.75 : x
  2. Step 2: Convert to fraction form
    224,424.75/309,706.16 = 123,822.75/x
  3. Step 3: Cross multiply
    224,424.75x = 309,706.16 × 123,822.75
  4. Step 4: Simplify right side
    224,424.75x = 38,348,667,804.03
  5. Step 5: Solve for x
    x = 38,348,667,804.03/224,424.75
  6. Step 6: Final answer
    x = 170,875.40

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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.