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Finding the Fourth Proportional to 118,664, 163,756.48 and 73,952

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Solution

The fourth proportional to 118,664, 163,756.48 and 73,952 is: 102,053.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,664 : 163,756.48 = 73,952 : x
  2. Step 2: Convert to fraction form
    118,664/163,756.48 = 73,952/x
  3. Step 3: Cross multiply
    118,664x = 163,756.48 × 73,952
  4. Step 4: Simplify right side
    118,664x = 12,110,119,208.96
  5. Step 5: Solve for x
    x = 12,110,119,208.96/118,664
  6. Step 6: Final answer
    x = 102,053.86

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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.