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Finding the Fourth Proportional to 158,197, 237,353.84 and 83,314.12

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Solution

The fourth proportional to 158,197, 237,353.84 and 83,314.12 is: 125,001.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,197 : 237,353.84 = 83,314.12 : x
  2. Step 2: Convert to fraction form
    158,197/237,353.84 = 83,314.12/x
  3. Step 3: Cross multiply
    158,197x = 237,353.84 × 83,314.12
  4. Step 4: Simplify right side
    158,197x = 19,774,926,308.22
  5. Step 5: Solve for x
    x = 19,774,926,308.22/158,197
  6. Step 6: Final answer
    x = 125,001.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.