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Finding the Fourth Proportional to 190,889.63, 286,308.30 and 105,658.14

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Solution

The fourth proportional to 190,889.63, 286,308.30 and 105,658.14 is: 158,472.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,889.63 : 286,308.30 = 105,658.14 : x
  2. Step 2: Convert to fraction form
    190,889.63/286,308.30 = 105,658.14/x
  3. Step 3: Cross multiply
    190,889.63x = 286,308.30 × 105,658.14
  4. Step 4: Simplify right side
    190,889.63x = 30,250,802,444.56
  5. Step 5: Solve for x
    x = 30,250,802,444.56/190,889.63
  6. Step 6: Final answer
    x = 158,472.74

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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.