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Finding the Fourth Proportional to 119,909.94, 180,069.04 and 114,894.42

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Solution

The fourth proportional to 119,909.94, 180,069.04 and 114,894.42 is: 172,537.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,909.94 : 180,069.04 = 114,894.42 : x
  2. Step 2: Convert to fraction form
    119,909.94/180,069.04 = 114,894.42/x
  3. Step 3: Cross multiply
    119,909.94x = 180,069.04 × 114,894.42
  4. Step 4: Simplify right side
    119,909.94x = 20,688,927,910.76
  5. Step 5: Solve for x
    x = 20,688,927,910.76/119,909.94
  6. Step 6: Final answer
    x = 172,537.22

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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.