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Finding the Fourth Proportional to 211,483.44, 317,124.72 and 122,764.16

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Solution

The fourth proportional to 211,483.44, 317,124.72 and 122,764.16 is: 184,087.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,483.44 : 317,124.72 = 122,764.16 : x
  2. Step 2: Convert to fraction form
    211,483.44/317,124.72 = 122,764.16/x
  3. Step 3: Cross multiply
    211,483.44x = 317,124.72 × 122,764.16
  4. Step 4: Simplify right side
    211,483.44x = 38,931,549,866.04
  5. Step 5: Solve for x
    x = 38,931,549,866.04/211,483.44
  6. Step 6: Final answer
    x = 184,087.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.