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Finding the Fourth Proportional to 210,098.92, 289,938.36 and 114,606.04

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Solution

The fourth proportional to 210,098.92, 289,938.36 and 114,606.04 is: 158,157.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,098.92 : 289,938.36 = 114,606.04 : x
  2. Step 2: Convert to fraction form
    210,098.92/289,938.36 = 114,606.04/x
  3. Step 3: Cross multiply
    210,098.92x = 289,938.36 × 114,606.04
  4. Step 4: Simplify right side
    210,098.92x = 33,228,687,283.69
  5. Step 5: Solve for x
    x = 33,228,687,283.69/210,098.92
  6. Step 6: Final answer
    x = 158,157.34

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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.