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Finding the Fourth Proportional to 105,238.38, 145,232.58 and 57,495.36

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Solution

The fourth proportional to 105,238.38, 145,232.58 and 57,495.36 is: 79,345.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,238.38 : 145,232.58 = 57,495.36 : x
  2. Step 2: Convert to fraction form
    105,238.38/145,232.58 = 57,495.36/x
  3. Step 3: Cross multiply
    105,238.38x = 145,232.58 × 57,495.36
  4. Step 4: Simplify right side
    105,238.38x = 8,350,199,470.83
  5. Step 5: Solve for x
    x = 8,350,199,470.83/105,238.38
  6. Step 6: Final answer
    x = 79,345.57

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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.