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Finding the Fourth Proportional to 118,124.52, 177,209.58 and 38,184

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Solution

The fourth proportional to 118,124.52, 177,209.58 and 38,184 is: 57,283.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,124.52 : 177,209.58 = 38,184 : x
  2. Step 2: Convert to fraction form
    118,124.52/177,209.58 = 38,184/x
  3. Step 3: Cross multiply
    118,124.52x = 177,209.58 × 38,184
  4. Step 4: Simplify right side
    118,124.52x = 6,766,570,602.72
  5. Step 5: Solve for x
    x = 6,766,570,602.72/118,124.52
  6. Step 6: Final answer
    x = 57,283.37

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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.