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Finding the Fourth Proportional to 117,566.72, 162,148.25 and 77,321.81

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Solution

The fourth proportional to 117,566.72, 162,148.25 and 77,321.81 is: 106,642.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,566.72 : 162,148.25 = 77,321.81 : x
  2. Step 2: Convert to fraction form
    117,566.72/162,148.25 = 77,321.81/x
  3. Step 3: Cross multiply
    117,566.72x = 162,148.25 × 77,321.81
  4. Step 4: Simplify right side
    117,566.72x = 12,537,594,980.98
  5. Step 5: Solve for x
    x = 12,537,594,980.98/117,566.72
  6. Step 6: Final answer
    x = 106,642.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.