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Finding the Fourth Proportional to 116,000.30, 160,107.54 and 75,643.77

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Solution

The fourth proportional to 116,000.30, 160,107.54 and 75,643.77 is: 104,406.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,000.30 : 160,107.54 = 75,643.77 : x
  2. Step 2: Convert to fraction form
    116,000.30/160,107.54 = 75,643.77/x
  3. Step 3: Cross multiply
    116,000.30x = 160,107.54 × 75,643.77
  4. Step 4: Simplify right side
    116,000.30x = 12,111,138,247.76
  5. Step 5: Solve for x
    x = 12,111,138,247.76/116,000.30
  6. Step 6: Final answer
    x = 104,406.09

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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.