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Finding the Fourth Proportional to 142,316.84, 196,389.68 and 78,650.84

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Solution

The fourth proportional to 142,316.84, 196,389.68 and 78,650.84 is: 108,533.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,316.84 : 196,389.68 = 78,650.84 : x
  2. Step 2: Convert to fraction form
    142,316.84/196,389.68 = 78,650.84/x
  3. Step 3: Cross multiply
    142,316.84x = 196,389.68 × 78,650.84
  4. Step 4: Simplify right side
    142,316.84x = 15,446,211,924.13
  5. Step 5: Solve for x
    x = 15,446,211,924.13/142,316.84
  6. Step 6: Final answer
    x = 108,533.98

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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.