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Finding the Fourth Proportional to 146,616.59, 219,943 and 51,827.23

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Solution

The fourth proportional to 146,616.59, 219,943 and 51,827.23 is: 77,747.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,616.59 : 219,943 = 51,827.23 : x
  2. Step 2: Convert to fraction form
    146,616.59/219,943 = 51,827.23/x
  3. Step 3: Cross multiply
    146,616.59x = 219,943 × 51,827.23
  4. Step 4: Simplify right side
    146,616.59x = 11,399,036,447.89
  5. Step 5: Solve for x
    x = 11,399,036,447.89/146,616.59
  6. Step 6: Final answer
    x = 77,747.25

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1.5x scale

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.