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Finding the Fourth Proportional to 146,530.65, 219,793.58 and 46,689.50

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Solution

The fourth proportional to 146,530.65, 219,793.58 and 46,689.50 is: 70,033.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,530.65 : 219,793.58 = 46,689.50 : x
  2. Step 2: Convert to fraction form
    146,530.65/219,793.58 = 46,689.50/x
  3. Step 3: Cross multiply
    146,530.65x = 219,793.58 × 46,689.50
  4. Step 4: Simplify right side
    146,530.65x = 10,262,051,137.72
  5. Step 5: Solve for x
    x = 10,262,051,137.72/146,530.65
  6. Step 6: Final answer
    x = 70,033.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.