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Finding the Fourth Proportional to 201,267.95, 277,993.35 and 146,733.75

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Solution

The fourth proportional to 201,267.95, 277,993.35 and 146,733.75 is: 202,670.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,267.95 : 277,993.35 = 146,733.75 : x
  2. Step 2: Convert to fraction form
    201,267.95/277,993.35 = 146,733.75/x
  3. Step 3: Cross multiply
    201,267.95x = 277,993.35 × 146,733.75
  4. Step 4: Simplify right side
    201,267.95x = 40,791,006,720.56
  5. Step 5: Solve for x
    x = 40,791,006,720.56/201,267.95
  6. Step 6: Final answer
    x = 202,670.16

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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.