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Finding the Fourth Proportional to 116,002.30, 160,110.30 and 75,645.77

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Solution

The fourth proportional to 116,002.30, 160,110.30 and 75,645.77 is: 104,408.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,002.30 : 160,110.30 = 75,645.77 : x
  2. Step 2: Convert to fraction form
    116,002.30/160,110.30 = 75,645.77/x
  3. Step 3: Cross multiply
    116,002.30x = 160,110.30 × 75,645.77
  4. Step 4: Simplify right side
    116,002.30x = 12,111,666,928.43
  5. Step 5: Solve for x
    x = 12,111,666,928.43/116,002.30
  6. Step 6: Final answer
    x = 104,408.85

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1.5x scale

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.