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Finding the Fourth Proportional to 262,904.45, 362,808.12 and 142,045.76

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Solution

The fourth proportional to 262,904.45, 362,808.12 and 142,045.76 is: 196,023.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,904.45 : 362,808.12 = 142,045.76 : x
  2. Step 2: Convert to fraction form
    262,904.45/362,808.12 = 142,045.76/x
  3. Step 3: Cross multiply
    262,904.45x = 362,808.12 × 142,045.76
  4. Step 4: Simplify right side
    262,904.45x = 51,535,353,325.53
  5. Step 5: Solve for x
    x = 51,535,353,325.53/262,904.45
  6. Step 6: Final answer
    x = 196,023.13

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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.