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Finding the Fourth Proportional to 200,678.47, 276,938.97 and 110,034.21

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Solution

The fourth proportional to 200,678.47, 276,938.97 and 110,034.21 is: 151,848.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,678.47 : 276,938.97 = 110,034.21 : x
  2. Step 2: Convert to fraction form
    200,678.47/276,938.97 = 110,034.21/x
  3. Step 3: Cross multiply
    200,678.47x = 276,938.97 × 110,034.21
  4. Step 4: Simplify right side
    200,678.47x = 30,472,759,397.47
  5. Step 5: Solve for x
    x = 30,472,759,397.47/200,678.47
  6. Step 6: Final answer
    x = 151,848.67

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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.