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Finding the Fourth Proportional to 260,248, 359,142.72 and 141,016

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Solution

The fourth proportional to 260,248, 359,142.72 and 141,016 is: 194,602.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,248 : 359,142.72 = 141,016 : x
  2. Step 2: Convert to fraction form
    260,248/359,142.72 = 141,016/x
  3. Step 3: Cross multiply
    260,248x = 359,142.72 × 141,016
  4. Step 4: Simplify right side
    260,248x = 50,644,869,803.52
  5. Step 5: Solve for x
    x = 50,644,869,803.52/260,248
  6. Step 6: Final answer
    x = 194,602.34

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