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Finding the Fourth Proportional to 228,230.69, 314,852.22 and 147,684.24

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Solution

The fourth proportional to 228,230.69, 314,852.22 and 147,684.24 is: 203,735.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,230.69 : 314,852.22 = 147,684.24 : x
  2. Step 2: Convert to fraction form
    228,230.69/314,852.22 = 147,684.24/x
  3. Step 3: Cross multiply
    228,230.69x = 314,852.22 × 147,684.24
  4. Step 4: Simplify right side
    228,230.69x = 46,498,710,823.01
  5. Step 5: Solve for x
    x = 46,498,710,823.01/228,230.69
  6. Step 6: Final answer
    x = 203,735.58

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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.