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Finding the Fourth Proportional to 200,052, 276,071.76 and 110,628

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Solution

The fourth proportional to 200,052, 276,071.76 and 110,628 is: 152,666.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,052 : 276,071.76 = 110,628 : x
  2. Step 2: Convert to fraction form
    200,052/276,071.76 = 110,628/x
  3. Step 3: Cross multiply
    200,052x = 276,071.76 × 110,628
  4. Step 4: Simplify right side
    200,052x = 30,541,266,665.28
  5. Step 5: Solve for x
    x = 30,541,266,665.28/200,052
  6. Step 6: Final answer
    x = 152,666.64

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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.