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Finding the Fourth Proportional to 201,271.63, 301,904.34 and 51,510.64

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Solution

The fourth proportional to 201,271.63, 301,904.34 and 51,510.64 is: 77,265.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,271.63 : 301,904.34 = 51,510.64 : x
  2. Step 2: Convert to fraction form
    201,271.63/301,904.34 = 51,510.64/x
  3. Step 3: Cross multiply
    201,271.63x = 301,904.34 × 51,510.64
  4. Step 4: Simplify right side
    201,271.63x = 15,551,285,772.18
  5. Step 5: Solve for x
    x = 15,551,285,772.18/201,271.63
  6. Step 6: Final answer
    x = 77,265.17

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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.