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Finding the Fourth Proportional to 114,645.60, 171,822.60 and 102,106.80

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Solution

The fourth proportional to 114,645.60, 171,822.60 and 102,106.80 is: 153,030.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,645.60 : 171,822.60 = 102,106.80 : x
  2. Step 2: Convert to fraction form
    114,645.60/171,822.60 = 102,106.80/x
  3. Step 3: Cross multiply
    114,645.60x = 171,822.60 × 102,106.80
  4. Step 4: Simplify right side
    114,645.60x = 17,544,255,853.68
  5. Step 5: Solve for x
    x = 17,544,255,853.68/114,645.60
  6. Step 6: Final answer
    x = 153,030.35

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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.