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Finding the Fourth Proportional to 146,209.80, 219,314.70 and 57,433.80

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Solution

The fourth proportional to 146,209.80, 219,314.70 and 57,433.80 is: 86,150.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,209.80 : 219,314.70 = 57,433.80 : x
  2. Step 2: Convert to fraction form
    146,209.80/219,314.70 = 57,433.80/x
  3. Step 3: Cross multiply
    146,209.80x = 219,314.70 × 57,433.80
  4. Step 4: Simplify right side
    146,209.80x = 12,596,076,616.86
  5. Step 5: Solve for x
    x = 12,596,076,616.86/146,209.80
  6. Step 6: Final answer
    x = 86,150.70

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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.