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Finding the Fourth Proportional to 189,158.40, 283,737.60 and 78,566.40

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Solution

The fourth proportional to 189,158.40, 283,737.60 and 78,566.40 is: 117,849.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,158.40 : 283,737.60 = 78,566.40 : x
  2. Step 2: Convert to fraction form
    189,158.40/283,737.60 = 78,566.40/x
  3. Step 3: Cross multiply
    189,158.40x = 283,737.60 × 78,566.40
  4. Step 4: Simplify right side
    189,158.40x = 22,292,241,776.64
  5. Step 5: Solve for x
    x = 22,292,241,776.64/189,158.40
  6. Step 6: Final answer
    x = 117,849.60

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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.