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Finding the Fourth Proportional to 201,124.64, 301,686.69 and 51,365.03

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Solution

The fourth proportional to 201,124.64, 301,686.69 and 51,365.03 is: 77,047.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,124.64 : 301,686.69 = 51,365.03 : x
  2. Step 2: Convert to fraction form
    201,124.64/301,686.69 = 51,365.03/x
  3. Step 3: Cross multiply
    201,124.64x = 301,686.69 × 51,365.03
  4. Step 4: Simplify right side
    201,124.64x = 15,496,145,882.45
  5. Step 5: Solve for x
    x = 15,496,145,882.45/201,124.64
  6. Step 6: Final answer
    x = 77,047.48

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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.