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Finding the Fourth Proportional to 200,815.01, 277,142.64 and 110,188.62

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Solution

The fourth proportional to 200,815.01, 277,142.64 and 110,188.62 is: 152,070.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,815.01 : 277,142.64 = 110,188.62 : x
  2. Step 2: Convert to fraction form
    200,815.01/277,142.64 = 110,188.62/x
  3. Step 3: Cross multiply
    200,815.01x = 277,142.64 × 110,188.62
  4. Step 4: Simplify right side
    200,815.01x = 30,537,963,772.26
  5. Step 5: Solve for x
    x = 30,537,963,772.26/200,815.01
  6. Step 6: Final answer
    x = 152,070.13

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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.