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Finding the Fourth Proportional to 105,272.49, 145,269.92 and 57,526.23

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Solution

The fourth proportional to 105,272.49, 145,269.92 and 57,526.23 is: 79,382.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,272.49 : 145,269.92 = 57,526.23 : x
  2. Step 2: Convert to fraction form
    105,272.49/145,269.92 = 57,526.23/x
  3. Step 3: Cross multiply
    105,272.49x = 145,269.92 × 57,526.23
  4. Step 4: Simplify right side
    105,272.49x = 8,356,830,542.37
  5. Step 5: Solve for x
    x = 8,356,830,542.37/105,272.49
  6. Step 6: Final answer
    x = 79,382.85

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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.