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Finding the Fourth Proportional to 174,114, 240,277.32 and 103,458

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Solution

The fourth proportional to 174,114, 240,277.32 and 103,458 is: 142,772.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,114 : 240,277.32 = 103,458 : x
  2. Step 2: Convert to fraction form
    174,114/240,277.32 = 103,458/x
  3. Step 3: Cross multiply
    174,114x = 240,277.32 × 103,458
  4. Step 4: Simplify right side
    174,114x = 24,858,610,972.56
  5. Step 5: Solve for x
    x = 24,858,610,972.56/174,114
  6. Step 6: Final answer
    x = 142,772.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.