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Finding the Fourth Proportional to 364,110, 546,257.16 and 101,454

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Solution

The fourth proportional to 364,110, 546,257.16 and 101,454 is: 152,206.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,110 : 546,257.16 = 101,454 : x
  2. Step 2: Convert to fraction form
    364,110/546,257.16 = 101,454/x
  3. Step 3: Cross multiply
    364,110x = 546,257.16 × 101,454
  4. Step 4: Simplify right side
    364,110x = 55,419,973,910.64
  5. Step 5: Solve for x
    x = 55,419,973,910.64/364,110
  6. Step 6: Final answer
    x = 152,206.68

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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.