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Finding the Fourth Proportional to 142,657.81, 214,020.48 and 46,594.54

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Solution

The fourth proportional to 142,657.81, 214,020.48 and 46,594.54 is: 69,902.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,657.81 : 214,020.48 = 46,594.54 : x
  2. Step 2: Convert to fraction form
    142,657.81/214,020.48 = 46,594.54/x
  3. Step 3: Cross multiply
    142,657.81x = 214,020.48 × 46,594.54
  4. Step 4: Simplify right side
    142,657.81x = 9,972,185,996.34
  5. Step 5: Solve for x
    x = 9,972,185,996.34/142,657.81
  6. Step 6: Final answer
    x = 69,902.84

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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.