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Finding the Fourth Proportional to 142,858.34, 197,104.61 and 112,549.58

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Solution

The fourth proportional to 142,858.34, 197,104.61 and 112,549.58 is: 155,286.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,858.34 : 197,104.61 = 112,549.58 : x
  2. Step 2: Convert to fraction form
    142,858.34/197,104.61 = 112,549.58/x
  3. Step 3: Cross multiply
    142,858.34x = 197,104.61 × 112,549.58
  4. Step 4: Simplify right side
    142,858.34x = 22,184,040,473.47
  5. Step 5: Solve for x
    x = 22,184,040,473.47/142,858.34
  6. Step 6: Final answer
    x = 155,286.98

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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.