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Finding the Fourth Proportional to 135,300.46, 202,948.58 and 46,554.74

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Solution

The fourth proportional to 135,300.46, 202,948.58 and 46,554.74 is: 69,831.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,300.46 : 202,948.58 = 46,554.74 : x
  2. Step 2: Convert to fraction form
    135,300.46/202,948.58 = 46,554.74/x
  3. Step 3: Cross multiply
    135,300.46x = 202,948.58 × 46,554.74
  4. Step 4: Simplify right side
    135,300.46x = 9,448,218,375.27
  5. Step 5: Solve for x
    x = 9,448,218,375.27/135,300.46
  6. Step 6: Final answer
    x = 69,831.38

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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.