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Finding the Fourth Proportional to 301,291.12, 451,653.90 and 101,471.68

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Solution

The fourth proportional to 301,291.12, 451,653.90 and 101,471.68 is: 152,112.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,291.12 : 451,653.90 = 101,471.68 : x
  2. Step 2: Convert to fraction form
    301,291.12/451,653.90 = 101,471.68/x
  3. Step 3: Cross multiply
    301,291.12x = 451,653.90 × 101,471.68
  4. Step 4: Simplify right side
    301,291.12x = 45,830,080,011.55
  5. Step 5: Solve for x
    x = 45,830,080,011.55/301,291.12
  6. Step 6: Final answer
    x = 152,112.28

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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.