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Finding the Fourth Proportional to 114,210.95, 171,289.08 and 47,652.03

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Solution

The fourth proportional to 114,210.95, 171,289.08 and 47,652.03 is: 71,466.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,210.95 : 171,289.08 = 47,652.03 : x
  2. Step 2: Convert to fraction form
    114,210.95/171,289.08 = 47,652.03/x
  3. Step 3: Cross multiply
    114,210.95x = 171,289.08 × 47,652.03
  4. Step 4: Simplify right side
    114,210.95x = 8,162,272,378.83
  5. Step 5: Solve for x
    x = 8,162,272,378.83/114,210.95
  6. Step 6: Final answer
    x = 71,466.64

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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.