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Finding the Fourth Proportional to 205,415.80, 308,123.70 and 195,047.80

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Solution

The fourth proportional to 205,415.80, 308,123.70 and 195,047.80 is: 292,571.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,415.80 : 308,123.70 = 195,047.80 : x
  2. Step 2: Convert to fraction form
    205,415.80/308,123.70 = 195,047.80/x
  3. Step 3: Cross multiply
    205,415.80x = 308,123.70 × 195,047.80
  4. Step 4: Simplify right side
    205,415.80x = 60,098,849,812.86
  5. Step 5: Solve for x
    x = 60,098,849,812.86/205,415.80
  6. Step 6: Final answer
    x = 292,571.70

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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.