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Finding the Fourth Proportional to 140,960.36, 194,533.98 and 77,307.32

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Solution

The fourth proportional to 140,960.36, 194,533.98 and 77,307.32 is: 106,688.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,960.36 : 194,533.98 = 77,307.32 : x
  2. Step 2: Convert to fraction form
    140,960.36/194,533.98 = 77,307.32/x
  3. Step 3: Cross multiply
    140,960.36x = 194,533.98 × 77,307.32
  4. Step 4: Simplify right side
    140,960.36x = 15,038,900,642.73
  5. Step 5: Solve for x
    x = 15,038,900,642.73/140,960.36
  6. Step 6: Final answer
    x = 106,688.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.