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Finding the Fourth Proportional to 235,123.60, 352,709.96 and 77,364.48

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Solution

The fourth proportional to 235,123.60, 352,709.96 and 77,364.48 is: 116,054.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,123.60 : 352,709.96 = 77,364.48 : x
  2. Step 2: Convert to fraction form
    235,123.60/352,709.96 = 77,364.48/x
  3. Step 3: Cross multiply
    235,123.60x = 352,709.96 × 77,364.48
  4. Step 4: Simplify right side
    235,123.60x = 27,287,222,646.22
  5. Step 5: Solve for x
    x = 27,287,222,646.22/235,123.60
  6. Step 6: Final answer
    x = 116,054.80

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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.