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Finding the Fourth Proportional to 301,352, 452,013.30 and 111,849.24

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Solution

The fourth proportional to 301,352, 452,013.30 and 111,849.24 is: 167,768.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,352 : 452,013.30 = 111,849.24 : x
  2. Step 2: Convert to fraction form
    301,352/452,013.30 = 111,849.24/x
  3. Step 3: Cross multiply
    301,352x = 452,013.30 × 111,849.24
  4. Step 4: Simplify right side
    301,352x = 50,557,344,074.89
  5. Step 5: Solve for x
    x = 50,557,344,074.89/301,352
  6. Step 6: Final answer
    x = 167,768.40

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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.