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Finding the Fourth Proportional to 165,405.30, 228,162.92 and 120,030.50

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Solution

The fourth proportional to 165,405.30, 228,162.92 and 120,030.50 is: 165,572.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,405.30 : 228,162.92 = 120,030.50 : x
  2. Step 2: Convert to fraction form
    165,405.30/228,162.92 = 120,030.50/x
  3. Step 3: Cross multiply
    165,405.30x = 228,162.92 × 120,030.50
  4. Step 4: Simplify right side
    165,405.30x = 27,386,509,369.06
  5. Step 5: Solve for x
    x = 27,386,509,369.06/165,405.30
  6. Step 6: Final answer
    x = 165,572.14

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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.