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Finding the Fourth Proportional to 189,457.40, 284,186.10 and 78,865.40

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Solution

The fourth proportional to 189,457.40, 284,186.10 and 78,865.40 is: 118,298.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,457.40 : 284,186.10 = 78,865.40 : x
  2. Step 2: Convert to fraction form
    189,457.40/284,186.10 = 78,865.40/x
  3. Step 3: Cross multiply
    189,457.40x = 284,186.10 × 78,865.40
  4. Step 4: Simplify right side
    189,457.40x = 22,412,450,450.94
  5. Step 5: Solve for x
    x = 22,412,450,450.94/189,457.40
  6. Step 6: Final answer
    x = 118,298.10

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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.