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Finding the Fourth Proportional to 189,937.44, 262,118.16 and 105,056.16

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Solution

The fourth proportional to 189,937.44, 262,118.16 and 105,056.16 is: 144,979.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,937.44 : 262,118.16 = 105,056.16 : x
  2. Step 2: Convert to fraction form
    189,937.44/262,118.16 = 105,056.16/x
  3. Step 3: Cross multiply
    189,937.44x = 262,118.16 × 105,056.16
  4. Step 4: Simplify right side
    189,937.44x = 27,537,127,355.87
  5. Step 5: Solve for x
    x = 27,537,127,355.87/189,937.44
  6. Step 6: Final answer
    x = 144,979.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.