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Finding the Fourth Proportional to 142,307.46, 196,384.23 and 78,644.70

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Solution

The fourth proportional to 142,307.46, 196,384.23 and 78,644.70 is: 108,529.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,307.46 : 196,384.23 = 78,644.70 : x
  2. Step 2: Convert to fraction form
    142,307.46/196,384.23 = 78,644.70/x
  3. Step 3: Cross multiply
    142,307.46x = 196,384.23 × 78,644.70
  4. Step 4: Simplify right side
    142,307.46x = 15,444,578,853.08
  5. Step 5: Solve for x
    x = 15,444,578,853.08/142,307.46
  6. Step 6: Final answer
    x = 108,529.65

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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.