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Finding the Fourth Proportional to 255,159.42, 352,059.92 and 214,478.18

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Solution

The fourth proportional to 255,159.42, 352,059.92 and 214,478.18 is: 295,929.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,159.42 : 352,059.92 = 214,478.18 : x
  2. Step 2: Convert to fraction form
    255,159.42/352,059.92 = 214,478.18/x
  3. Step 3: Cross multiply
    255,159.42x = 352,059.92 × 214,478.18
  4. Step 4: Simplify right side
    255,159.42x = 75,509,170,184.37
  5. Step 5: Solve for x
    x = 75,509,170,184.37/255,159.42
  6. Step 6: Final answer
    x = 295,929.39

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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.