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Finding the Fourth Proportional to 171,624.80, 257,437.20 and 141,881.60

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Solution

The fourth proportional to 171,624.80, 257,437.20 and 141,881.60 is: 212,822.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,624.80 : 257,437.20 = 141,881.60 : x
  2. Step 2: Convert to fraction form
    171,624.80/257,437.20 = 141,881.60/x
  3. Step 3: Cross multiply
    171,624.80x = 257,437.20 × 141,881.60
  4. Step 4: Simplify right side
    171,624.80x = 36,525,601,835.52
  5. Step 5: Solve for x
    x = 36,525,601,835.52/171,624.80
  6. Step 6: Final answer
    x = 212,822.40

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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.