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Finding the Fourth Proportional to 118,064.81, 177,124.90 and 46,991.75

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Solution

The fourth proportional to 118,064.81, 177,124.90 and 46,991.75 is: 70,498.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,064.81 : 177,124.90 = 46,991.75 : x
  2. Step 2: Convert to fraction form
    118,064.81/177,124.90 = 46,991.75/x
  3. Step 3: Cross multiply
    118,064.81x = 177,124.90 × 46,991.75
  4. Step 4: Simplify right side
    118,064.81x = 8,323,409,019.58
  5. Step 5: Solve for x
    x = 8,323,409,019.58/118,064.81
  6. Step 6: Final answer
    x = 70,498.64

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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.