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Finding the Fourth Proportional to 120,005.40, 180,008.10 and 46,133.40

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Solution

The fourth proportional to 120,005.40, 180,008.10 and 46,133.40 is: 69,200.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,005.40 : 180,008.10 = 46,133.40 : x
  2. Step 2: Convert to fraction form
    120,005.40/180,008.10 = 46,133.40/x
  3. Step 3: Cross multiply
    120,005.40x = 180,008.10 × 46,133.40
  4. Step 4: Simplify right side
    120,005.40x = 8,304,385,680.54
  5. Step 5: Solve for x
    x = 8,304,385,680.54/120,005.40
  6. Step 6: Final answer
    x = 69,200.10

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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.