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Finding the Fourth Proportional to 102,875.12, 154,325.02 and 36,301.50

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Solution

The fourth proportional to 102,875.12, 154,325.02 and 36,301.50 is: 54,456.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,875.12 : 154,325.02 = 36,301.50 : x
  2. Step 2: Convert to fraction form
    102,875.12/154,325.02 = 36,301.50/x
  3. Step 3: Cross multiply
    102,875.12x = 154,325.02 × 36,301.50
  4. Step 4: Simplify right side
    102,875.12x = 5,602,229,713.53
  5. Step 5: Solve for x
    x = 5,602,229,713.53/102,875.12
  6. Step 6: Final answer
    x = 54,456.60

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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.