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Finding the Fourth Proportional to 214,055.34, 295,594.92 and 160,246.92

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Solution

The fourth proportional to 214,055.34, 295,594.92 and 160,246.92 is: 221,289.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,055.34 : 295,594.92 = 160,246.92 : x
  2. Step 2: Convert to fraction form
    214,055.34/295,594.92 = 160,246.92/x
  3. Step 3: Cross multiply
    214,055.34x = 295,594.92 × 160,246.92
  4. Step 4: Simplify right side
    214,055.34x = 47,368,175,497.65
  5. Step 5: Solve for x
    x = 47,368,175,497.65/214,055.34
  6. Step 6: Final answer
    x = 221,289.39

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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.