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Finding the Fourth Proportional to 174,495.60, 261,743.40 and 156,780.90

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Solution

The fourth proportional to 174,495.60, 261,743.40 and 156,780.90 is: 235,171.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,495.60 : 261,743.40 = 156,780.90 : x
  2. Step 2: Convert to fraction form
    174,495.60/261,743.40 = 156,780.90/x
  3. Step 3: Cross multiply
    174,495.60x = 261,743.40 × 156,780.90
  4. Step 4: Simplify right side
    174,495.60x = 41,036,365,821.06
  5. Step 5: Solve for x
    x = 41,036,365,821.06/174,495.60
  6. Step 6: Final answer
    x = 235,171.35

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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.