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Finding the Fourth Proportional to 233,122.81, 321,399.79 and 152,411.58

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Solution

The fourth proportional to 233,122.81, 321,399.79 and 152,411.58 is: 210,125.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,122.81 : 321,399.79 = 152,411.58 : x
  2. Step 2: Convert to fraction form
    233,122.81/321,399.79 = 152,411.58/x
  3. Step 3: Cross multiply
    233,122.81x = 321,399.79 × 152,411.58
  4. Step 4: Simplify right side
    233,122.81x = 48,985,048,198.57
  5. Step 5: Solve for x
    x = 48,985,048,198.57/233,122.81
  6. Step 6: Final answer
    x = 210,125.51

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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.