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Finding the Fourth Proportional to 260,234, 359,123.16 and 141,002

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Solution

The fourth proportional to 260,234, 359,123.16 and 141,002 is: 194,582.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,234 : 359,123.16 = 141,002 : x
  2. Step 2: Convert to fraction form
    260,234/359,123.16 = 141,002/x
  3. Step 3: Cross multiply
    260,234x = 359,123.16 × 141,002
  4. Step 4: Simplify right side
    260,234x = 50,637,083,806.32
  5. Step 5: Solve for x
    x = 50,637,083,806.32/260,234
  6. Step 6: Final answer
    x = 194,582.89

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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.