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Finding the Fourth Proportional to 253,184.34, 349,428.93 and 145,751.70

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Solution

The fourth proportional to 253,184.34, 349,428.93 and 145,751.70 is: 201,157.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,184.34 : 349,428.93 = 145,751.70 : x
  2. Step 2: Convert to fraction form
    253,184.34/349,428.93 = 145,751.70/x
  3. Step 3: Cross multiply
    253,184.34x = 349,428.93 × 145,751.70
  4. Step 4: Simplify right side
    253,184.34x = 50,929,860,576.68
  5. Step 5: Solve for x
    x = 50,929,860,576.68/253,184.34
  6. Step 6: Final answer
    x = 201,157.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.