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Finding the Fourth Proportional to 189,316.82, 284,024.64 and 70,990.40

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Solution

The fourth proportional to 189,316.82, 284,024.64 and 70,990.40 is: 106,504.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,316.82 : 284,024.64 = 70,990.40 : x
  2. Step 2: Convert to fraction form
    189,316.82/284,024.64 = 70,990.40/x
  3. Step 3: Cross multiply
    189,316.82x = 284,024.64 × 70,990.40
  4. Step 4: Simplify right side
    189,316.82x = 20,163,022,803.46
  5. Step 5: Solve for x
    x = 20,163,022,803.46/189,316.82
  6. Step 6: Final answer
    x = 106,504.13

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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.