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Finding the Fourth Proportional to 141,309, 195,005.90 and 76,777.80

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Solution

The fourth proportional to 141,309, 195,005.90 and 76,777.80 is: 105,953.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,309 : 195,005.90 = 76,777.80 : x
  2. Step 2: Convert to fraction form
    141,309/195,005.90 = 76,777.80/x
  3. Step 3: Cross multiply
    141,309x = 195,005.90 × 76,777.80
  4. Step 4: Simplify right side
    141,309x = 14,972,123,989.02
  5. Step 5: Solve for x
    x = 14,972,123,989.02/141,309
  6. Step 6: Final answer
    x = 105,953.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.