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Finding the Fourth Proportional to 226,672.84, 340,005.42 and 78,925

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Solution

The fourth proportional to 226,672.84, 340,005.42 and 78,925 is: 118,386.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,672.84 : 340,005.42 = 78,925 : x
  2. Step 2: Convert to fraction form
    226,672.84/340,005.42 = 78,925/x
  3. Step 3: Cross multiply
    226,672.84x = 340,005.42 × 78,925
  4. Step 4: Simplify right side
    226,672.84x = 26,834,927,773.50
  5. Step 5: Solve for x
    x = 26,834,927,773.50/226,672.84
  6. Step 6: Final answer
    x = 118,386.16

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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.