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Finding the Fourth Proportional to 189,193.96, 260,871.78 and 141,366.76

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Solution

The fourth proportional to 189,193.96, 260,871.78 and 141,366.76 is: 194,924.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,193.96 : 260,871.78 = 141,366.76 : x
  2. Step 2: Convert to fraction form
    189,193.96/260,871.78 = 141,366.76/x
  3. Step 3: Cross multiply
    189,193.96x = 260,871.78 × 141,366.76
  4. Step 4: Simplify right side
    189,193.96x = 36,878,598,314.03
  5. Step 5: Solve for x
    x = 36,878,598,314.03/189,193.96
  6. Step 6: Final answer
    x = 194,924.82

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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.