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Finding the Fourth Proportional to 233,269, 349,875.72 and 137,263.60

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Solution

The fourth proportional to 233,269, 349,875.72 and 137,263.60 is: 205,879.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,269 : 349,875.72 = 137,263.60 : x
  2. Step 2: Convert to fraction form
    233,269/349,875.72 = 137,263.60/x
  3. Step 3: Cross multiply
    233,269x = 349,875.72 × 137,263.60
  4. Step 4: Simplify right side
    233,269x = 48,025,200,879.79
  5. Step 5: Solve for x
    x = 48,025,200,879.79/233,269
  6. Step 6: Final answer
    x = 205,879.05

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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.