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Finding the Fourth Proportional to 301,252.16, 451,562.88 and 101,503.52

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Solution

The fourth proportional to 301,252.16, 451,562.88 and 101,503.52 is: 152,149.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,252.16 : 451,562.88 = 101,503.52 : x
  2. Step 2: Convert to fraction form
    301,252.16/451,562.88 = 101,503.52/x
  3. Step 3: Cross multiply
    301,252.16x = 451,562.88 × 101,503.52
  4. Step 4: Simplify right side
    301,252.16x = 45,835,221,821.34
  5. Step 5: Solve for x
    x = 45,835,221,821.34/301,252.16
  6. Step 6: Final answer
    x = 152,149.02

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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.