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Finding the Fourth Proportional to 116,953.53, 161,414.06 and 76,783.80

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Solution

The fourth proportional to 116,953.53, 161,414.06 and 76,783.80 is: 105,973.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,953.53 : 161,414.06 = 76,783.80 : x
  2. Step 2: Convert to fraction form
    116,953.53/161,414.06 = 76,783.80/x
  3. Step 3: Cross multiply
    116,953.53x = 161,414.06 × 76,783.80
  4. Step 4: Simplify right side
    116,953.53x = 12,393,984,900.23
  5. Step 5: Solve for x
    x = 12,393,984,900.23/116,953.53
  6. Step 6: Final answer
    x = 105,973.59

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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.