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Finding the Fourth Proportional to 202,293.14, 278,415.51 and 148,492.94

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Solution

The fourth proportional to 202,293.14, 278,415.51 and 148,492.94 is: 204,370.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,293.14 : 278,415.51 = 148,492.94 : x
  2. Step 2: Convert to fraction form
    202,293.14/278,415.51 = 148,492.94/x
  3. Step 3: Cross multiply
    202,293.14x = 278,415.51 × 148,492.94
  4. Step 4: Simplify right side
    202,293.14x = 41,342,737,621.50
  5. Step 5: Solve for x
    x = 41,342,737,621.50/202,293.14
  6. Step 6: Final answer
    x = 204,370.44

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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.