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Finding the Fourth Proportional to 292,133.86, 438,392.25 and 102,589.27

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Solution

The fourth proportional to 292,133.86, 438,392.25 and 102,589.27 is: 153,951.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,133.86 : 438,392.25 = 102,589.27 : x
  2. Step 2: Convert to fraction form
    292,133.86/438,392.25 = 102,589.27/x
  3. Step 3: Cross multiply
    292,133.86x = 438,392.25 × 102,589.27
  4. Step 4: Simplify right side
    292,133.86x = 44,974,339,805.18
  5. Step 5: Solve for x
    x = 44,974,339,805.18/292,133.86
  6. Step 6: Final answer
    x = 153,951.14

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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.