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Finding the Fourth Proportional to 292,134.36, 438,393 and 102,589.77

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Solution

The fourth proportional to 292,134.36, 438,393 and 102,589.77 is: 153,951.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,134.36 : 438,393 = 102,589.77 : x
  2. Step 2: Convert to fraction form
    292,134.36/438,393 = 102,589.77/x
  3. Step 3: Cross multiply
    292,134.36x = 438,393 × 102,589.77
  4. Step 4: Simplify right side
    292,134.36x = 44,974,637,039.61
  5. Step 5: Solve for x
    x = 44,974,637,039.61/292,134.36
  6. Step 6: Final answer
    x = 153,951.89

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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.