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Finding the Fourth Proportional to 224,387, 309,653.65 and 122,412.47

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Solution

The fourth proportional to 224,387, 309,653.65 and 122,412.47 is: 168,928.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,387 : 309,653.65 = 122,412.47 : x
  2. Step 2: Convert to fraction form
    224,387/309,653.65 = 122,412.47/x
  3. Step 3: Cross multiply
    224,387x = 309,653.65 × 122,412.47
  4. Step 4: Simplify right side
    224,387x = 37,905,466,592.75
  5. Step 5: Solve for x
    x = 37,905,466,592.75/224,387
  6. Step 6: Final answer
    x = 168,928.98

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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.