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Finding the Fourth Proportional to 249,471.37, 374,487.49 and 99,817.24

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Solution

The fourth proportional to 249,471.37, 374,487.49 and 99,817.24 is: 149,838.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,471.37 : 374,487.49 = 99,817.24 : x
  2. Step 2: Convert to fraction form
    249,471.37/374,487.49 = 99,817.24/x
  3. Step 3: Cross multiply
    249,471.37x = 374,487.49 × 99,817.24
  4. Step 4: Simplify right side
    249,471.37x = 37,380,307,666.33
  5. Step 5: Solve for x
    x = 37,380,307,666.33/249,471.37
  6. Step 6: Final answer
    x = 149,838.07

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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.