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Finding the Fourth Proportional to 233,689.83, 350,534.73 and 133,779.63

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Solution

The fourth proportional to 233,689.83, 350,534.73 and 133,779.63 is: 200,669.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,689.83 : 350,534.73 = 133,779.63 : x
  2. Step 2: Convert to fraction form
    233,689.83/350,534.73 = 133,779.63/x
  3. Step 3: Cross multiply
    233,689.83x = 350,534.73 × 133,779.63
  4. Step 4: Simplify right side
    233,689.83x = 46,894,406,481.55
  5. Step 5: Solve for x
    x = 46,894,406,481.55/233,689.83
  6. Step 6: Final answer
    x = 200,669.44

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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.