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Finding the Fourth Proportional to 163,296, 244,984.96 and 46,560

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Solution

The fourth proportional to 163,296, 244,984.96 and 46,560 is: 69,851.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,296 : 244,984.96 = 46,560 : x
  2. Step 2: Convert to fraction form
    163,296/244,984.96 = 46,560/x
  3. Step 3: Cross multiply
    163,296x = 244,984.96 × 46,560
  4. Step 4: Simplify right side
    163,296x = 11,406,499,737.60
  5. Step 5: Solve for x
    x = 11,406,499,737.60/163,296
  6. Step 6: Final answer
    x = 69,851.68

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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.