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Finding the Fourth Proportional to 292,023, 438,081.90 and 114,433.74

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Solution

The fourth proportional to 292,023, 438,081.90 and 114,433.74 is: 171,669.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,023 : 438,081.90 = 114,433.74 : x
  2. Step 2: Convert to fraction form
    292,023/438,081.90 = 114,433.74/x
  3. Step 3: Cross multiply
    292,023x = 438,081.90 × 114,433.74
  4. Step 4: Simplify right side
    292,023x = 50,131,350,243.31
  5. Step 5: Solve for x
    x = 50,131,350,243.31/292,023
  6. Step 6: Final answer
    x = 171,669.18

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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.