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Finding the Fourth Proportional to 185,148, 277,734.96 and 74,340

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Solution

The fourth proportional to 185,148, 277,734.96 and 74,340 is: 111,515.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,148 : 277,734.96 = 74,340 : x
  2. Step 2: Convert to fraction form
    185,148/277,734.96 = 74,340/x
  3. Step 3: Cross multiply
    185,148x = 277,734.96 × 74,340
  4. Step 4: Simplify right side
    185,148x = 20,646,816,926.40
  5. Step 5: Solve for x
    x = 20,646,816,926.40/185,148
  6. Step 6: Final answer
    x = 111,515.20

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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.