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Finding the Fourth Proportional to 142,196.58, 196,227.50 and 78,533.01

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Solution

The fourth proportional to 142,196.58, 196,227.50 and 78,533.01 is: 108,373.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,196.58 : 196,227.50 = 78,533.01 : x
  2. Step 2: Convert to fraction form
    142,196.58/196,227.50 = 78,533.01/x
  3. Step 3: Cross multiply
    142,196.58x = 196,227.50 × 78,533.01
  4. Step 4: Simplify right side
    142,196.58x = 15,410,335,827.11
  5. Step 5: Solve for x
    x = 15,410,335,827.11/142,196.58
  6. Step 6: Final answer
    x = 108,373.46

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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.