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Finding the Fourth Proportional to 277,696.01, 416,547.89 and 97,787.24

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Solution

The fourth proportional to 277,696.01, 416,547.89 and 97,787.24 is: 146,682.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,696.01 : 416,547.89 = 97,787.24 : x
  2. Step 2: Convert to fraction form
    277,696.01/416,547.89 = 97,787.24/x
  3. Step 3: Cross multiply
    277,696.01x = 416,547.89 × 97,787.24
  4. Step 4: Simplify right side
    277,696.01x = 40,733,067,664.65
  5. Step 5: Solve for x
    x = 40,733,067,664.65/277,696.01
  6. Step 6: Final answer
    x = 146,682.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.