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Finding the Fourth Proportional to 142,948, 197,269.16 and 79,285.96

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Solution

The fourth proportional to 142,948, 197,269.16 and 79,285.96 is: 109,415.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,948 : 197,269.16 = 79,285.96 : x
  2. Step 2: Convert to fraction form
    142,948/197,269.16 = 79,285.96/x
  3. Step 3: Cross multiply
    142,948x = 197,269.16 × 79,285.96
  4. Step 4: Simplify right side
    142,948x = 15,640,674,728.99
  5. Step 5: Solve for x
    x = 15,640,674,728.99/142,948
  6. Step 6: Final answer
    x = 109,415.14

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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.