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Finding the Fourth Proportional to 214,511.52, 295,847.52 and 160,915.52

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Solution

The fourth proportional to 214,511.52, 295,847.52 and 160,915.52 is: 221,929.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,511.52 : 295,847.52 = 160,915.52 : x
  2. Step 2: Convert to fraction form
    214,511.52/295,847.52 = 160,915.52/x
  3. Step 3: Cross multiply
    214,511.52x = 295,847.52 × 160,915.52
  4. Step 4: Simplify right side
    214,511.52x = 47,606,457,521.51
  5. Step 5: Solve for x
    x = 47,606,457,521.51/214,511.52
  6. Step 6: Final answer
    x = 221,929.61

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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.