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Finding the Fourth Proportional to 253,055.16, 348,977.43 and 162,438.84

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Solution

The fourth proportional to 253,055.16, 348,977.43 and 162,438.84 is: 224,012.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,055.16 : 348,977.43 = 162,438.84 : x
  2. Step 2: Convert to fraction form
    253,055.16/348,977.43 = 162,438.84/x
  3. Step 3: Cross multiply
    253,055.16x = 348,977.43 × 162,438.84
  4. Step 4: Simplify right side
    253,055.16x = 56,687,488,915.38
  5. Step 5: Solve for x
    x = 56,687,488,915.38/253,055.16
  6. Step 6: Final answer
    x = 224,012.38

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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.