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Finding the Fourth Proportional to 105,557.38, 145,669.19 and 57,810.71

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Solution

The fourth proportional to 105,557.38, 145,669.19 and 57,810.71 is: 79,778.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,557.38 : 145,669.19 = 57,810.71 : x
  2. Step 2: Convert to fraction form
    105,557.38/145,669.19 = 57,810.71/x
  3. Step 3: Cross multiply
    105,557.38x = 145,669.19 × 57,810.71
  4. Step 4: Simplify right side
    105,557.38x = 8,421,239,374.14
  5. Step 5: Solve for x
    x = 8,421,239,374.14/105,557.38
  6. Step 6: Final answer
    x = 79,778.79

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Why These Related Problems?

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