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Finding the Fourth Proportional to 189,053.64, 283,580.46 and 177,506.28

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Solution

The fourth proportional to 189,053.64, 283,580.46 and 177,506.28 is: 266,259.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,053.64 : 283,580.46 = 177,506.28 : x
  2. Step 2: Convert to fraction form
    189,053.64/283,580.46 = 177,506.28/x
  3. Step 3: Cross multiply
    189,053.64x = 283,580.46 × 177,506.28
  4. Step 4: Simplify right side
    189,053.64x = 50,337,312,535.29
  5. Step 5: Solve for x
    x = 50,337,312,535.29/189,053.64
  6. Step 6: Final answer
    x = 266,259.42

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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.