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Finding the Fourth Proportional to 421,708.02, 632,562.03 and 122,188.80

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Solution

The fourth proportional to 421,708.02, 632,562.03 and 122,188.80 is: 183,283.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,708.02 : 632,562.03 = 122,188.80 : x
  2. Step 2: Convert to fraction form
    421,708.02/632,562.03 = 122,188.80/x
  3. Step 3: Cross multiply
    421,708.02x = 632,562.03 × 122,188.80
  4. Step 4: Simplify right side
    421,708.02x = 77,291,995,371.26
  5. Step 5: Solve for x
    x = 77,291,995,371.26/421,708.02
  6. Step 6: Final answer
    x = 183,283.20

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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.