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Finding the Fourth Proportional to 299,313.90, 448,580.96 and 121,613.16

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Solution

The fourth proportional to 299,313.90, 448,580.96 and 121,613.16 is: 182,261.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,313.90 : 448,580.96 = 121,613.16 : x
  2. Step 2: Convert to fraction form
    299,313.90/448,580.96 = 121,613.16/x
  3. Step 3: Cross multiply
    299,313.90x = 448,580.96 × 121,613.16
  4. Step 4: Simplify right side
    299,313.90x = 54,553,348,061.43
  5. Step 5: Solve for x
    x = 54,553,348,061.43/299,313.90
  6. Step 6: Final answer
    x = 182,261.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.