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Finding the Fourth Proportional to 103,051.90, 142,220.64 and 57,729.16

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Solution

The fourth proportional to 103,051.90, 142,220.64 and 57,729.16 is: 79,671.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,051.90 : 142,220.64 = 57,729.16 : x
  2. Step 2: Convert to fraction form
    103,051.90/142,220.64 = 57,729.16/x
  3. Step 3: Cross multiply
    103,051.90x = 142,220.64 × 57,729.16
  4. Step 4: Simplify right side
    103,051.90x = 8,210,278,081.86
  5. Step 5: Solve for x
    x = 8,210,278,081.86/103,051.90
  6. Step 6: Final answer
    x = 79,671.29

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