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Finding the Fourth Proportional to 189,159.18, 283,238.19 and 114,179.10

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Solution

The fourth proportional to 189,159.18, 283,238.19 and 114,179.10 is: 170,966.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,159.18 : 283,238.19 = 114,179.10 : x
  2. Step 2: Convert to fraction form
    189,159.18/283,238.19 = 114,179.10/x
  3. Step 3: Cross multiply
    189,159.18x = 283,238.19 × 114,179.10
  4. Step 4: Simplify right side
    189,159.18x = 32,339,881,619.83
  5. Step 5: Solve for x
    x = 32,339,881,619.83/189,159.18
  6. Step 6: Final answer
    x = 170,966.49

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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.