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Finding the Fourth Proportional to 200,533.47, 276,709.10 and 114,486.98

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Solution

The fourth proportional to 200,533.47, 276,709.10 and 114,486.98 is: 157,976.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,533.47 : 276,709.10 = 114,486.98 : x
  2. Step 2: Convert to fraction form
    200,533.47/276,709.10 = 114,486.98/x
  3. Step 3: Cross multiply
    200,533.47x = 276,709.10 × 114,486.98
  4. Step 4: Simplify right side
    200,533.47x = 31,679,588,994.74
  5. Step 5: Solve for x
    x = 31,679,588,994.74/200,533.47
  6. Step 6: Final answer
    x = 157,976.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.