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Finding the Fourth Proportional to 200,731.50, 277,009.47 and 111,307.50

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Solution

The fourth proportional to 200,731.50, 277,009.47 and 111,307.50 is: 153,604.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,731.50 : 277,009.47 = 111,307.50 : x
  2. Step 2: Convert to fraction form
    200,731.50/277,009.47 = 111,307.50/x
  3. Step 3: Cross multiply
    200,731.50x = 277,009.47 × 111,307.50
  4. Step 4: Simplify right side
    200,731.50x = 30,833,231,582.03
  5. Step 5: Solve for x
    x = 30,833,231,582.03/200,731.50
  6. Step 6: Final answer
    x = 153,604.35

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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.