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Finding the Fourth Proportional to 224,136.48, 309,308.40 and 123,534.48

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Solution

The fourth proportional to 224,136.48, 309,308.40 and 123,534.48 is: 170,477.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,136.48 : 309,308.40 = 123,534.48 : x
  2. Step 2: Convert to fraction form
    224,136.48/309,308.40 = 123,534.48/x
  3. Step 3: Cross multiply
    224,136.48x = 309,308.40 × 123,534.48
  4. Step 4: Simplify right side
    224,136.48x = 38,210,252,353.63
  5. Step 5: Solve for x
    x = 38,210,252,353.63/224,136.48
  6. Step 6: Final answer
    x = 170,477.61

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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.