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Finding the Fourth Proportional to 364,101.41, 546,132.48 and 111,381.95

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Solution

The fourth proportional to 364,101.41, 546,132.48 and 111,381.95 is: 167,066.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,101.41 : 546,132.48 = 111,381.95 : x
  2. Step 2: Convert to fraction form
    364,101.41/546,132.48 = 111,381.95/x
  3. Step 3: Cross multiply
    364,101.41x = 546,132.48 × 111,381.95
  4. Step 4: Simplify right side
    364,101.41x = 60,829,300,580.74
  5. Step 5: Solve for x
    x = 60,829,300,580.74/364,101.41
  6. Step 6: Final answer
    x = 167,066.92

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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.