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Finding the Fourth Proportional to 103,108.98, 142,283.34 and 57,779.22

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Solution

The fourth proportional to 103,108.98, 142,283.34 and 57,779.22 is: 79,731.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,108.98 : 142,283.34 = 57,779.22 : x
  2. Step 2: Convert to fraction form
    103,108.98/142,283.34 = 57,779.22/x
  3. Step 3: Cross multiply
    103,108.98x = 142,283.34 × 57,779.22
  4. Step 4: Simplify right side
    103,108.98x = 8,221,020,404.19
  5. Step 5: Solve for x
    x = 8,221,020,404.19/103,108.98
  6. Step 6: Final answer
    x = 79,731.37

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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.