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Finding the Fourth Proportional to 189,042.10, 283,563.16 and 155,628.16

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Solution

The fourth proportional to 189,042.10, 283,563.16 and 155,628.16 is: 233,442.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,042.10 : 283,563.16 = 155,628.16 : x
  2. Step 2: Convert to fraction form
    189,042.10/283,563.16 = 155,628.16/x
  3. Step 3: Cross multiply
    189,042.10x = 283,563.16 × 155,628.16
  4. Step 4: Simplify right side
    189,042.10x = 44,130,412,834.59
  5. Step 5: Solve for x
    x = 44,130,412,834.59/189,042.10
  6. Step 6: Final answer
    x = 233,442.25

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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.