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Finding the Fourth Proportional to 233,683.94, 350,385.68 and 107,165.70

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Solution

The fourth proportional to 233,683.94, 350,385.68 and 107,165.70 is: 160,684.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,683.94 : 350,385.68 = 107,165.70 : x
  2. Step 2: Convert to fraction form
    233,683.94/350,385.68 = 107,165.70/x
  3. Step 3: Cross multiply
    233,683.94x = 350,385.68 × 107,165.70
  4. Step 4: Simplify right side
    233,683.94x = 37,549,326,131.35
  5. Step 5: Solve for x
    x = 37,549,326,131.35/233,683.94
  6. Step 6: Final answer
    x = 160,684.24

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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.