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Finding the Fourth Proportional to 257,114.60, 385,412.70 and 116,973.80

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Solution

The fourth proportional to 257,114.60, 385,412.70 and 116,973.80 is: 175,342.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,114.60 : 385,412.70 = 116,973.80 : x
  2. Step 2: Convert to fraction form
    257,114.60/385,412.70 = 116,973.80/x
  3. Step 3: Cross multiply
    257,114.60x = 385,412.70 × 116,973.80
  4. Step 4: Simplify right side
    257,114.60x = 45,083,188,087.26
  5. Step 5: Solve for x
    x = 45,083,188,087.26/257,114.60
  6. Step 6: Final answer
    x = 175,342.78

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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.