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Finding the Fourth Proportional to 153,288.96, 229,968.06 and 46,682.48

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Solution

The fourth proportional to 153,288.96, 229,968.06 and 46,682.48 is: 70,034.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,288.96 : 229,968.06 = 46,682.48 : x
  2. Step 2: Convert to fraction form
    153,288.96/229,968.06 = 46,682.48/x
  3. Step 3: Cross multiply
    153,288.96x = 229,968.06 × 46,682.48
  4. Step 4: Simplify right side
    153,288.96x = 10,735,479,361.59
  5. Step 5: Solve for x
    x = 10,735,479,361.59/153,288.96
  6. Step 6: Final answer
    x = 70,034.26

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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.