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Finding the Fourth Proportional to 102,368.69, 141,193.60 and 67,851

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Solution

The fourth proportional to 102,368.69, 141,193.60 and 67,851 is: 93,584.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,368.69 : 141,193.60 = 67,851 : x
  2. Step 2: Convert to fraction form
    102,368.69/141,193.60 = 67,851/x
  3. Step 3: Cross multiply
    102,368.69x = 141,193.60 × 67,851
  4. Step 4: Simplify right side
    102,368.69x = 9,580,126,783.97
  5. Step 5: Solve for x
    x = 9,580,126,783.97/102,368.69
  6. Step 6: Final answer
    x = 93,584.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.