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Finding the Fourth Proportional to 189,882.36, 262,043.10 and 105,007.32

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Solution

The fourth proportional to 189,882.36, 262,043.10 and 105,007.32 is: 144,913.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,882.36 : 262,043.10 = 105,007.32 : x
  2. Step 2: Convert to fraction form
    189,882.36/262,043.10 = 105,007.32/x
  3. Step 3: Cross multiply
    189,882.36x = 262,043.10 × 105,007.32
  4. Step 4: Simplify right side
    189,882.36x = 27,516,443,655.49
  5. Step 5: Solve for x
    x = 27,516,443,655.49/189,882.36
  6. Step 6: Final answer
    x = 144,913.11

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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.