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Finding the Fourth Proportional to 146,318, 219,454.52 and 46,465.24

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Solution

The fourth proportional to 146,318, 219,454.52 and 46,465.24 is: 69,690.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,318 : 219,454.52 = 46,465.24 : x
  2. Step 2: Convert to fraction form
    146,318/219,454.52 = 46,465.24/x
  3. Step 3: Cross multiply
    146,318x = 219,454.52 × 46,465.24
  4. Step 4: Simplify right side
    146,318x = 10,197,006,940.88
  5. Step 5: Solve for x
    x = 10,197,006,940.88/146,318
  6. Step 6: Final answer
    x = 69,690.72

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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.