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Finding the Fourth Proportional to 189,098.40, 283,647.60 and 170,666.40

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Solution

The fourth proportional to 189,098.40, 283,647.60 and 170,666.40 is: 255,999.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,098.40 : 283,647.60 = 170,666.40 : x
  2. Step 2: Convert to fraction form
    189,098.40/283,647.60 = 170,666.40/x
  3. Step 3: Cross multiply
    189,098.40x = 283,647.60 × 170,666.40
  4. Step 4: Simplify right side
    189,098.40x = 48,409,114,760.64
  5. Step 5: Solve for x
    x = 48,409,114,760.64/189,098.40
  6. Step 6: Final answer
    x = 255,999.60

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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.