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Finding the Fourth Proportional to 105,164.93, 145,131.04 and 57,421.91

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Solution

The fourth proportional to 105,164.93, 145,131.04 and 57,421.91 is: 79,244.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,164.93 : 145,131.04 = 57,421.91 : x
  2. Step 2: Convert to fraction form
    105,164.93/145,131.04 = 57,421.91/x
  3. Step 3: Cross multiply
    105,164.93x = 145,131.04 × 57,421.91
  4. Step 4: Simplify right side
    105,164.93x = 8,333,701,951.69
  5. Step 5: Solve for x
    x = 8,333,701,951.69/105,164.93
  6. Step 6: Final answer
    x = 79,244.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.