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Finding the Fourth Proportional to 136,196.96, 204,295.44 and 42,710

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Solution

The fourth proportional to 136,196.96, 204,295.44 and 42,710 is: 64,065

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,196.96 : 204,295.44 = 42,710 : x
  2. Step 2: Convert to fraction form
    136,196.96/204,295.44 = 42,710/x
  3. Step 3: Cross multiply
    136,196.96x = 204,295.44 × 42,710
  4. Step 4: Simplify right side
    136,196.96x = 8,725,458,242.40
  5. Step 5: Solve for x
    x = 8,725,458,242.40/136,196.96
  6. Step 6: Final answer
    x = 64,065

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.