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Finding the Fourth Proportional to 268,656.39, 402,970.01 and 81,653.31

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Solution

The fourth proportional to 268,656.39, 402,970.01 and 81,653.31 is: 122,475.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,656.39 : 402,970.01 = 81,653.31 : x
  2. Step 2: Convert to fraction form
    268,656.39/402,970.01 = 81,653.31/x
  3. Step 3: Cross multiply
    268,656.39x = 402,970.01 × 81,653.31
  4. Step 4: Simplify right side
    268,656.39x = 32,903,835,950.52
  5. Step 5: Solve for x
    x = 32,903,835,950.52/268,656.39
  6. Step 6: Final answer
    x = 122,475.54

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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.