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Finding the Fourth Proportional to 120,124.32, 165,776.40 and 66,409.44

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Solution

The fourth proportional to 120,124.32, 165,776.40 and 66,409.44 is: 91,647.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,124.32 : 165,776.40 = 66,409.44 : x
  2. Step 2: Convert to fraction form
    120,124.32/165,776.40 = 66,409.44/x
  3. Step 3: Cross multiply
    120,124.32x = 165,776.40 × 66,409.44
  4. Step 4: Simplify right side
    120,124.32x = 11,009,117,889.22
  5. Step 5: Solve for x
    x = 11,009,117,889.22/120,124.32
  6. Step 6: Final answer
    x = 91,647.70

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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.