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Finding the Fourth Proportional to 120,312.36, 180,407.79 and 70,407.45

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Solution

The fourth proportional to 120,312.36, 180,407.79 and 70,407.45 is: 105,575.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,312.36 : 180,407.79 = 70,407.45 : x
  2. Step 2: Convert to fraction form
    120,312.36/180,407.79 = 70,407.45/x
  3. Step 3: Cross multiply
    120,312.36x = 180,407.79 × 70,407.45
  4. Step 4: Simplify right side
    120,312.36x = 12,702,052,454.04
  5. Step 5: Solve for x
    x = 12,702,052,454.04/120,312.36
  6. Step 6: Final answer
    x = 105,575.62

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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.