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Finding the Fourth Proportional to 158,564.68, 237,380.46 and 105,843.40

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Solution

The fourth proportional to 158,564.68, 237,380.46 and 105,843.40 is: 158,453.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,564.68 : 237,380.46 = 105,843.40 : x
  2. Step 2: Convert to fraction form
    158,564.68/237,380.46 = 105,843.40/x
  3. Step 3: Cross multiply
    158,564.68x = 237,380.46 × 105,843.40
  4. Step 4: Simplify right side
    158,564.68x = 25,125,154,979.96
  5. Step 5: Solve for x
    x = 25,125,154,979.96/158,564.68
  6. Step 6: Final answer
    x = 158,453.67

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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.