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Finding the Fourth Proportional to 114,430.60, 171,645.90 and 102,183.40

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Solution

The fourth proportional to 114,430.60, 171,645.90 and 102,183.40 is: 153,275.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,430.60 : 171,645.90 = 102,183.40 : x
  2. Step 2: Convert to fraction form
    114,430.60/171,645.90 = 102,183.40/x
  3. Step 3: Cross multiply
    114,430.60x = 171,645.90 × 102,183.40
  4. Step 4: Simplify right side
    114,430.60x = 17,539,361,658.06
  5. Step 5: Solve for x
    x = 17,539,361,658.06/114,430.60
  6. Step 6: Final answer
    x = 153,275.10

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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.