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Finding the Fourth Proportional to 364,100.41, 546,130.98 and 111,380.95

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Solution

The fourth proportional to 364,100.41, 546,130.98 and 111,380.95 is: 167,065.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,100.41 : 546,130.98 = 111,380.95 : x
  2. Step 2: Convert to fraction form
    364,100.41/546,130.98 = 111,380.95/x
  3. Step 3: Cross multiply
    364,100.41x = 546,130.98 × 111,380.95
  4. Step 4: Simplify right side
    364,100.41x = 60,828,587,376.83
  5. Step 5: Solve for x
    x = 60,828,587,376.83/364,100.41
  6. Step 6: Final answer
    x = 167,065.42

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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.