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Finding the Fourth Proportional to 233,137.67, 321,701.22 and 147,064.16

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Solution

The fourth proportional to 233,137.67, 321,701.22 and 147,064.16 is: 202,930.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,137.67 : 321,701.22 = 147,064.16 : x
  2. Step 2: Convert to fraction form
    233,137.67/321,701.22 = 147,064.16/x
  3. Step 3: Cross multiply
    233,137.67x = 321,701.22 × 147,064.16
  4. Step 4: Simplify right side
    233,137.67x = 47,310,718,081.77
  5. Step 5: Solve for x
    x = 47,310,718,081.77/233,137.67
  6. Step 6: Final answer
    x = 202,930.39

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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.