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Finding the Fourth Proportional to 292,035.75, 438,101.01 and 114,446.49

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Solution

The fourth proportional to 292,035.75, 438,101.01 and 114,446.49 is: 171,688.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,035.75 : 438,101.01 = 114,446.49 : x
  2. Step 2: Convert to fraction form
    292,035.75/438,101.01 = 114,446.49/x
  3. Step 3: Cross multiply
    292,035.75x = 438,101.01 × 114,446.49
  4. Step 4: Simplify right side
    292,035.75x = 50,139,122,859.95
  5. Step 5: Solve for x
    x = 50,139,122,859.95/292,035.75
  6. Step 6: Final answer
    x = 171,688.30

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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.