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Finding the Fourth Proportional to 233,684.69, 350,386.81 and 107,166.44

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Solution

The fourth proportional to 233,684.69, 350,386.81 and 107,166.44 is: 160,685.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,684.69 : 350,386.81 = 107,166.44 : x
  2. Step 2: Convert to fraction form
    233,684.69/350,386.81 = 107,166.44/x
  3. Step 3: Cross multiply
    233,684.69x = 350,386.81 × 107,166.44
  4. Step 4: Simplify right side
    233,684.69x = 37,549,707,658.71
  5. Step 5: Solve for x
    x = 37,549,707,658.71/233,684.69
  6. Step 6: Final answer
    x = 160,685.36

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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.