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Finding the Fourth Proportional to 113,878.40, 170,868.80 and 51,516.80

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Solution

The fourth proportional to 113,878.40, 170,868.80 and 51,516.80 is: 77,298.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,878.40 : 170,868.80 = 51,516.80 : x
  2. Step 2: Convert to fraction form
    113,878.40/170,868.80 = 51,516.80/x
  3. Step 3: Cross multiply
    113,878.40x = 170,868.80 × 51,516.80
  4. Step 4: Simplify right side
    113,878.40x = 8,802,613,795.84
  5. Step 5: Solve for x
    x = 8,802,613,795.84/113,878.40
  6. Step 6: Final answer
    x = 77,298.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.