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Finding the Fourth Proportional to 98,866.46, 148,253.07 and 35,678.33

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Solution

The fourth proportional to 98,866.46, 148,253.07 and 35,678.33 is: 53,500.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,866.46 : 148,253.07 = 35,678.33 : x
  2. Step 2: Convert to fraction form
    98,866.46/148,253.07 = 35,678.33/x
  3. Step 3: Cross multiply
    98,866.46x = 148,253.07 × 35,678.33
  4. Step 4: Simplify right side
    98,866.46x = 5,289,421,213.71
  5. Step 5: Solve for x
    x = 5,289,421,213.71/98,866.46
  6. Step 6: Final answer
    x = 53,500.67

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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.