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Finding the Fourth Proportional to 107,205.19, 160,807.78 and 73,437.91

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Solution

The fourth proportional to 107,205.19, 160,807.78 and 73,437.91 is: 110,156.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,205.19 : 160,807.78 = 73,437.91 : x
  2. Step 2: Convert to fraction form
    107,205.19/160,807.78 = 73,437.91/x
  3. Step 3: Cross multiply
    107,205.19x = 160,807.78 × 73,437.91
  4. Step 4: Simplify right side
    107,205.19x = 11,809,386,964.72
  5. Step 5: Solve for x
    x = 11,809,386,964.72/107,205.19
  6. Step 6: Final answer
    x = 110,156.86

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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.