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Finding the Fourth Proportional to 170,113.68, 255,184.92 and 51,786

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Solution

The fourth proportional to 170,113.68, 255,184.92 and 51,786 is: 77,683.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,113.68 : 255,184.92 = 51,786 : x
  2. Step 2: Convert to fraction form
    170,113.68/255,184.92 = 51,786/x
  3. Step 3: Cross multiply
    170,113.68x = 255,184.92 × 51,786
  4. Step 4: Simplify right side
    170,113.68x = 13,215,006,267.12
  5. Step 5: Solve for x
    x = 13,215,006,267.12/170,113.68
  6. Step 6: Final answer
    x = 77,683.38

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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.