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Finding the Fourth Proportional to 159,089, 238,634.94 and 48,281

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Solution

The fourth proportional to 159,089, 238,634.94 and 48,281 is: 72,421.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,089 : 238,634.94 = 48,281 : x
  2. Step 2: Convert to fraction form
    159,089/238,634.94 = 48,281/x
  3. Step 3: Cross multiply
    159,089x = 238,634.94 × 48,281
  4. Step 4: Simplify right side
    159,089x = 11,521,533,538.14
  5. Step 5: Solve for x
    x = 11,521,533,538.14/159,089
  6. Step 6: Final answer
    x = 72,421.94

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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.