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Finding the Fourth Proportional to 189,094.60, 283,641.90 and 105,977.80

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Solution

The fourth proportional to 189,094.60, 283,641.90 and 105,977.80 is: 158,966.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,094.60 : 283,641.90 = 105,977.80 : x
  2. Step 2: Convert to fraction form
    189,094.60/283,641.90 = 105,977.80/x
  3. Step 3: Cross multiply
    189,094.60x = 283,641.90 × 105,977.80
  4. Step 4: Simplify right side
    189,094.60x = 30,059,744,549.82
  5. Step 5: Solve for x
    x = 30,059,744,549.82/189,094.60
  6. Step 6: Final answer
    x = 158,966.70

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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.