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Finding the Fourth Proportional to 174,651.59, 241,045.25 and 106,707.84

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Solution

The fourth proportional to 174,651.59, 241,045.25 and 106,707.84 is: 147,272.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,651.59 : 241,045.25 = 106,707.84 : x
  2. Step 2: Convert to fraction form
    174,651.59/241,045.25 = 106,707.84/x
  3. Step 3: Cross multiply
    174,651.59x = 241,045.25 × 106,707.84
  4. Step 4: Simplify right side
    174,651.59x = 25,721,417,436.22
  5. Step 5: Solve for x
    x = 25,721,417,436.22/174,651.59
  6. Step 6: Final answer
    x = 147,272.74

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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.