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Finding the Fourth Proportional to 103,133.98, 142,322.33 and 57,193.36

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Solution

The fourth proportional to 103,133.98, 142,322.33 and 57,193.36 is: 78,925.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,133.98 : 142,322.33 = 57,193.36 : x
  2. Step 2: Convert to fraction form
    103,133.98/142,322.33 = 57,193.36/x
  3. Step 3: Cross multiply
    103,133.98x = 142,322.33 × 57,193.36
  4. Step 4: Simplify right side
    103,133.98x = 8,139,892,042.91
  5. Step 5: Solve for x
    x = 8,139,892,042.91/103,133.98
  6. Step 6: Final answer
    x = 78,925.42

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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.