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Finding the Fourth Proportional to 130,064.96, 194,946.84 and 59,796.80

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Solution

The fourth proportional to 130,064.96, 194,946.84 and 59,796.80 is: 89,625.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,064.96 : 194,946.84 = 59,796.80 : x
  2. Step 2: Convert to fraction form
    130,064.96/194,946.84 = 59,796.80/x
  3. Step 3: Cross multiply
    130,064.96x = 194,946.84 × 59,796.80
  4. Step 4: Simplify right side
    130,064.96x = 11,657,197,202.11
  5. Step 5: Solve for x
    x = 11,657,197,202.11/130,064.96
  6. Step 6: Final answer
    x = 89,625.96

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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.