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Finding the Fourth Proportional to 150,345, 207,482.94 and 83,277

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Solution

The fourth proportional to 150,345, 207,482.94 and 83,277 is: 114,926.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,345 : 207,482.94 = 83,277 : x
  2. Step 2: Convert to fraction form
    150,345/207,482.94 = 83,277/x
  3. Step 3: Cross multiply
    150,345x = 207,482.94 × 83,277
  4. Step 4: Simplify right side
    150,345x = 17,278,556,794.38
  5. Step 5: Solve for x
    x = 17,278,556,794.38/150,345
  6. Step 6: Final answer
    x = 114,926.05

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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.