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Finding the Fourth Proportional to 189,683.40, 284,525.10 and 166,355.40

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Solution

The fourth proportional to 189,683.40, 284,525.10 and 166,355.40 is: 249,533.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,683.40 : 284,525.10 = 166,355.40 : x
  2. Step 2: Convert to fraction form
    189,683.40/284,525.10 = 166,355.40/x
  3. Step 3: Cross multiply
    189,683.40x = 284,525.10 × 166,355.40
  4. Step 4: Simplify right side
    189,683.40x = 47,332,286,820.54
  5. Step 5: Solve for x
    x = 47,332,286,820.54/189,683.40
  6. Step 6: Final answer
    x = 249,533.10

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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.