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Finding the Fourth Proportional to 312,101.80, 468,041.94 and 112,368.52

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Solution

The fourth proportional to 312,101.80, 468,041.94 and 112,368.52 is: 168,512.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,101.80 : 468,041.94 = 112,368.52 : x
  2. Step 2: Convert to fraction form
    312,101.80/468,041.94 = 112,368.52/x
  3. Step 3: Cross multiply
    312,101.80x = 468,041.94 × 112,368.52
  4. Step 4: Simplify right side
    312,101.80x = 52,593,180,095.73
  5. Step 5: Solve for x
    x = 52,593,180,095.73/312,101.80
  6. Step 6: Final answer
    x = 168,512.90

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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.