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Finding the Fourth Proportional to 106,903.59, 160,349.67 and 40,339.41

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Solution

The fourth proportional to 106,903.59, 160,349.67 and 40,339.41 is: 60,506.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,903.59 : 160,349.67 = 40,339.41 : x
  2. Step 2: Convert to fraction form
    106,903.59/160,349.67 = 40,339.41/x
  3. Step 3: Cross multiply
    106,903.59x = 160,349.67 × 40,339.41
  4. Step 4: Simplify right side
    106,903.59x = 6,468,411,081.49
  5. Step 5: Solve for x
    x = 6,468,411,081.49/106,903.59
  6. Step 6: Final answer
    x = 60,506.96

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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.