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Finding the Fourth Proportional to 277,290.42, 382,661.02 and 149,966.01

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Solution

The fourth proportional to 277,290.42, 382,661.02 and 149,966.01 is: 206,953.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,290.42 : 382,661.02 = 149,966.01 : x
  2. Step 2: Convert to fraction form
    277,290.42/382,661.02 = 149,966.01/x
  3. Step 3: Cross multiply
    277,290.42x = 382,661.02 × 149,966.01
  4. Step 4: Simplify right side
    277,290.42x = 57,386,146,351.93
  5. Step 5: Solve for x
    x = 57,386,146,351.93/277,290.42
  6. Step 6: Final answer
    x = 206,953.22

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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.