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Finding the Fourth Proportional to 146,699.78, 220,061.81 and 46,874.16

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Solution

The fourth proportional to 146,699.78, 220,061.81 and 46,874.16 is: 70,315.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,699.78 : 220,061.81 = 46,874.16 : x
  2. Step 2: Convert to fraction form
    146,699.78/220,061.81 = 46,874.16/x
  3. Step 3: Cross multiply
    146,699.78x = 220,061.81 × 46,874.16
  4. Step 4: Simplify right side
    146,699.78x = 10,315,212,609.02
  5. Step 5: Solve for x
    x = 10,315,212,609.02/146,699.78
  6. Step 6: Final answer
    x = 70,315.12

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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.