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Finding the Fourth Proportional to 105,141.48, 145,097.28 and 57,399

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Solution

The fourth proportional to 105,141.48, 145,097.28 and 57,399 is: 79,211.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,141.48 : 145,097.28 = 57,399 : x
  2. Step 2: Convert to fraction form
    105,141.48/145,097.28 = 57,399/x
  3. Step 3: Cross multiply
    105,141.48x = 145,097.28 × 57,399
  4. Step 4: Simplify right side
    105,141.48x = 8,328,438,774.72
  5. Step 5: Solve for x
    x = 8,328,438,774.72/105,141.48
  6. Step 6: Final answer
    x = 79,211.73

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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.