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Finding the Fourth Proportional to 200,767.32, 277,054.10 and 110,122.47

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Solution

The fourth proportional to 200,767.32, 277,054.10 and 110,122.47 is: 151,966.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,767.32 : 277,054.10 = 110,122.47 : x
  2. Step 2: Convert to fraction form
    200,767.32/277,054.10 = 110,122.47/x
  3. Step 3: Cross multiply
    200,767.32x = 277,054.10 × 110,122.47
  4. Step 4: Simplify right side
    200,767.32x = 30,509,881,815.63
  5. Step 5: Solve for x
    x = 30,509,881,815.63/200,767.32
  6. Step 6: Final answer
    x = 151,966.37

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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.