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Finding the Fourth Proportional to 154,633.63, 231,955.31 and 73,562.95

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Solution

The fourth proportional to 154,633.63, 231,955.31 and 73,562.95 is: 110,346.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,633.63 : 231,955.31 = 73,562.95 : x
  2. Step 2: Convert to fraction form
    154,633.63/231,955.31 = 73,562.95/x
  3. Step 3: Cross multiply
    154,633.63x = 231,955.31 × 73,562.95
  4. Step 4: Simplify right side
    154,633.63x = 17,063,316,871.76
  5. Step 5: Solve for x
    x = 17,063,316,871.76/154,633.63
  6. Step 6: Final answer
    x = 110,346.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.