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Finding the Fourth Proportional to 137,532.30, 189,808.02 and 77,103.06

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Solution

The fourth proportional to 137,532.30, 189,808.02 and 77,103.06 is: 106,409.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,532.30 : 189,808.02 = 77,103.06 : x
  2. Step 2: Convert to fraction form
    137,532.30/189,808.02 = 77,103.06/x
  3. Step 3: Cross multiply
    137,532.30x = 189,808.02 × 77,103.06
  4. Step 4: Simplify right side
    137,532.30x = 14,634,779,154.54
  5. Step 5: Solve for x
    x = 14,634,779,154.54/137,532.30
  6. Step 6: Final answer
    x = 106,409.76

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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.