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Finding the Fourth Proportional to 283,412.94, 424,971.78 and 105,773.86

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Solution

The fourth proportional to 283,412.94, 424,971.78 and 105,773.86 is: 158,605.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,412.94 : 424,971.78 = 105,773.86 : x
  2. Step 2: Convert to fraction form
    283,412.94/424,971.78 = 105,773.86/x
  3. Step 3: Cross multiply
    283,412.94x = 424,971.78 × 105,773.86
  4. Step 4: Simplify right side
    283,412.94x = 44,950,905,561.67
  5. Step 5: Solve for x
    x = 44,950,905,561.67/283,412.94
  6. Step 6: Final answer
    x = 158,605.69

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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.