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Finding the Fourth Proportional to 142,603.22, 196,792.49 and 78,941.02

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Solution

The fourth proportional to 142,603.22, 196,792.49 and 78,941.02 is: 108,938.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,603.22 : 196,792.49 = 78,941.02 : x
  2. Step 2: Convert to fraction form
    142,603.22/196,792.49 = 78,941.02/x
  3. Step 3: Cross multiply
    142,603.22x = 196,792.49 × 78,941.02
  4. Step 4: Simplify right side
    142,603.22x = 15,534,999,242.51
  5. Step 5: Solve for x
    x = 15,534,999,242.51/142,603.22
  6. Step 6: Final answer
    x = 108,938.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.