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Finding the Fourth Proportional to 107,307.58, 160,964.76 and 51,153.82

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Solution

The fourth proportional to 107,307.58, 160,964.76 and 51,153.82 is: 76,732.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,307.58 : 160,964.76 = 51,153.82 : x
  2. Step 2: Convert to fraction form
    107,307.58/160,964.76 = 51,153.82/x
  3. Step 3: Cross multiply
    107,307.58x = 160,964.76 × 51,153.82
  4. Step 4: Simplify right side
    107,307.58x = 8,233,962,359.38
  5. Step 5: Solve for x
    x = 8,233,962,359.38/107,307.58
  6. Step 6: Final answer
    x = 76,732.35

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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.