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Finding the Fourth Proportional to 301,351, 452,011.80 and 111,848.24

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Solution

The fourth proportional to 301,351, 452,011.80 and 111,848.24 is: 167,766.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,351 : 452,011.80 = 111,848.24 : x
  2. Step 2: Convert to fraction form
    301,351/452,011.80 = 111,848.24/x
  3. Step 3: Cross multiply
    301,351x = 452,011.80 × 111,848.24
  4. Step 4: Simplify right side
    301,351x = 50,556,724,289.23
  5. Step 5: Solve for x
    x = 50,556,724,289.23/301,351
  6. Step 6: Final answer
    x = 167,766.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.