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Finding the Fourth Proportional to 270,812.34, 405,953.37 and 113,085.90

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Solution

The fourth proportional to 270,812.34, 405,953.37 and 113,085.90 is: 169,518.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,812.34 : 405,953.37 = 113,085.90 : x
  2. Step 2: Convert to fraction form
    270,812.34/405,953.37 = 113,085.90/x
  3. Step 3: Cross multiply
    270,812.34x = 405,953.37 × 113,085.90
  4. Step 4: Simplify right side
    270,812.34x = 45,907,602,204.48
  5. Step 5: Solve for x
    x = 45,907,602,204.48/270,812.34
  6. Step 6: Final answer
    x = 169,518.13

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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.