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Finding the Fourth Proportional to 176,800.40, 265,200.60 and 157,446.80

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Solution

The fourth proportional to 176,800.40, 265,200.60 and 157,446.80 is: 236,170.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,800.40 : 265,200.60 = 157,446.80 : x
  2. Step 2: Convert to fraction form
    176,800.40/265,200.60 = 157,446.80/x
  3. Step 3: Cross multiply
    176,800.40x = 265,200.60 × 157,446.80
  4. Step 4: Simplify right side
    176,800.40x = 41,754,985,828.08
  5. Step 5: Solve for x
    x = 41,754,985,828.08/176,800.40
  6. Step 6: Final answer
    x = 236,170.20

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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.