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Finding the Fourth Proportional to 270,048.96, 405,117.36 and 83,060.64

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Solution

The fourth proportional to 270,048.96, 405,117.36 and 83,060.64 is: 124,604.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,048.96 : 405,117.36 = 83,060.64 : x
  2. Step 2: Convert to fraction form
    270,048.96/405,117.36 = 83,060.64/x
  3. Step 3: Cross multiply
    270,048.96x = 405,117.36 × 83,060.64
  4. Step 4: Simplify right side
    270,048.96x = 33,649,307,196.71
  5. Step 5: Solve for x
    x = 33,649,307,196.71/270,048.96
  6. Step 6: Final answer
    x = 124,604.47

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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.