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Finding the Fourth Proportional to 213,533.86, 294,688.22 and 118,049.44

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Solution

The fourth proportional to 213,533.86, 294,688.22 and 118,049.44 is: 162,914.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,533.86 : 294,688.22 = 118,049.44 : x
  2. Step 2: Convert to fraction form
    213,533.86/294,688.22 = 118,049.44/x
  3. Step 3: Cross multiply
    213,533.86x = 294,688.22 × 118,049.44
  4. Step 4: Simplify right side
    213,533.86x = 34,787,779,345.60
  5. Step 5: Solve for x
    x = 34,787,779,345.60/213,533.86
  6. Step 6: Final answer
    x = 162,914.58

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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.