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Finding the Fourth Proportional to 120,417.72, 180,567.05 and 70,510.38

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Solution

The fourth proportional to 120,417.72, 180,567.05 and 70,510.38 is: 105,730.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,417.72 : 180,567.05 = 70,510.38 : x
  2. Step 2: Convert to fraction form
    120,417.72/180,567.05 = 70,510.38/x
  3. Step 3: Cross multiply
    120,417.72x = 180,567.05 × 70,510.38
  4. Step 4: Simplify right side
    120,417.72x = 12,731,850,958.43
  5. Step 5: Solve for x
    x = 12,731,850,958.43/120,417.72
  6. Step 6: Final answer
    x = 105,730.71

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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.