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Finding the Fourth Proportional to 105,574.23, 145,651.91 and 60,254.73

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Solution

The fourth proportional to 105,574.23, 145,651.91 and 60,254.73 is: 83,128.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,574.23 : 145,651.91 = 60,254.73 : x
  2. Step 2: Convert to fraction form
    105,574.23/145,651.91 = 60,254.73/x
  3. Step 3: Cross multiply
    105,574.23x = 145,651.91 × 60,254.73
  4. Step 4: Simplify right side
    105,574.23x = 8,776,216,209.76
  5. Step 5: Solve for x
    x = 8,776,216,209.76/105,574.23
  6. Step 6: Final answer
    x = 83,128.39

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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.