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Finding the Fourth Proportional to 114,947.60, 172,032.60 and 100,950.80

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Solution

The fourth proportional to 114,947.60, 172,032.60 and 100,950.80 is: 151,084.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,947.60 : 172,032.60 = 100,950.80 : x
  2. Step 2: Convert to fraction form
    114,947.60/172,032.60 = 100,950.80/x
  3. Step 3: Cross multiply
    114,947.60x = 172,032.60 × 100,950.80
  4. Step 4: Simplify right side
    114,947.60x = 17,366,828,596.08
  5. Step 5: Solve for x
    x = 17,366,828,596.08/114,947.60
  6. Step 6: Final answer
    x = 151,084.74

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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.