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Finding the Fourth Proportional to 233,339.96, 321,924.94 and 152,813.41

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Solution

The fourth proportional to 233,339.96, 321,924.94 and 152,813.41 is: 210,827.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,339.96 : 321,924.94 = 152,813.41 : x
  2. Step 2: Convert to fraction form
    233,339.96/321,924.94 = 152,813.41/x
  3. Step 3: Cross multiply
    233,339.96x = 321,924.94 × 152,813.41
  4. Step 4: Simplify right side
    233,339.96x = 49,194,446,658.60
  5. Step 5: Solve for x
    x = 49,194,446,658.60/233,339.96
  6. Step 6: Final answer
    x = 210,827.35

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1.5x scale

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.