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Finding the Fourth Proportional to 201,124.68, 301,686.78 and 51,365.10

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Solution

The fourth proportional to 201,124.68, 301,686.78 and 51,365.10 is: 77,047.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,124.68 : 301,686.78 = 51,365.10 : x
  2. Step 2: Convert to fraction form
    201,124.68/301,686.78 = 51,365.10/x
  3. Step 3: Cross multiply
    201,124.68x = 301,686.78 × 51,365.10
  4. Step 4: Simplify right side
    201,124.68x = 15,496,171,623.38
  5. Step 5: Solve for x
    x = 15,496,171,623.38/201,124.68
  6. Step 6: Final answer
    x = 77,047.59

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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.