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Finding the Fourth Proportional to 107,307.84, 160,994.72 and 51,219.52

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Solution

The fourth proportional to 107,307.84, 160,994.72 and 51,219.52 is: 76,845.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,307.84 : 160,994.72 = 51,219.52 : x
  2. Step 2: Convert to fraction form
    107,307.84/160,994.72 = 51,219.52/x
  3. Step 3: Cross multiply
    107,307.84x = 160,994.72 × 51,219.52
  4. Step 4: Simplify right side
    107,307.84x = 8,246,072,280.93
  5. Step 5: Solve for x
    x = 8,246,072,280.93/107,307.84
  6. Step 6: Final answer
    x = 76,845.01

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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.