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Finding the Fourth Proportional to 191,663.80, 264,496.32 and 106,783.84

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Solution

The fourth proportional to 191,663.80, 264,496.32 and 106,783.84 is: 147,361.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,663.80 : 264,496.32 = 106,783.84 : x
  2. Step 2: Convert to fraction form
    191,663.80/264,496.32 = 106,783.84/x
  3. Step 3: Cross multiply
    191,663.80x = 264,496.32 × 106,783.84
  4. Step 4: Simplify right side
    191,663.80x = 28,243,932,715.47
  5. Step 5: Solve for x
    x = 28,243,932,715.47/191,663.80
  6. Step 6: Final answer
    x = 147,361.85

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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.