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Finding the Fourth Proportional to 154,329.42, 212,854.50 and 103,325.94

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Solution

The fourth proportional to 154,329.42, 212,854.50 and 103,325.94 is: 142,509.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,329.42 : 212,854.50 = 103,325.94 : x
  2. Step 2: Convert to fraction form
    154,329.42/212,854.50 = 103,325.94/x
  3. Step 3: Cross multiply
    154,329.42x = 212,854.50 × 103,325.94
  4. Step 4: Simplify right side
    154,329.42x = 21,993,391,295.73
  5. Step 5: Solve for x
    x = 21,993,391,295.73/154,329.42
  6. Step 6: Final answer
    x = 142,509.39

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Why These Related Problems?

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