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Finding the Fourth Proportional to 233,269.80, 349,904.70 and 83,514.98

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Solution

The fourth proportional to 233,269.80, 349,904.70 and 83,514.98 is: 125,272.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,269.80 : 349,904.70 = 83,514.98 : x
  2. Step 2: Convert to fraction form
    233,269.80/349,904.70 = 83,514.98/x
  3. Step 3: Cross multiply
    233,269.80x = 349,904.70 × 83,514.98
  4. Step 4: Simplify right side
    233,269.80x = 29,222,282,272.88
  5. Step 5: Solve for x
    x = 29,222,282,272.88/233,269.80
  6. Step 6: Final answer
    x = 125,272.46

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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.