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Finding the Fourth Proportional to 251,903.80, 377,527.65 and 102,021.40

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Solution

The fourth proportional to 251,903.80, 377,527.65 and 102,021.40 is: 152,899.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,903.80 : 377,527.65 = 102,021.40 : x
  2. Step 2: Convert to fraction form
    251,903.80/377,527.65 = 102,021.40/x
  3. Step 3: Cross multiply
    251,903.80x = 377,527.65 × 102,021.40
  4. Step 4: Simplify right side
    251,903.80x = 38,515,899,391.71
  5. Step 5: Solve for x
    x = 38,515,899,391.71/251,903.80
  6. Step 6: Final answer
    x = 152,899.24

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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.