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Finding the Fourth Proportional to 201,262.45, 277,985.76 and 146,728.25

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Solution

The fourth proportional to 201,262.45, 277,985.76 and 146,728.25 is: 202,662.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,262.45 : 277,985.76 = 146,728.25 : x
  2. Step 2: Convert to fraction form
    201,262.45/277,985.76 = 146,728.25/x
  3. Step 3: Cross multiply
    201,262.45x = 277,985.76 × 146,728.25
  4. Step 4: Simplify right side
    201,262.45x = 40,788,364,089.72
  5. Step 5: Solve for x
    x = 40,788,364,089.72/201,262.45
  6. Step 6: Final answer
    x = 202,662.56

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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.