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Finding the Fourth Proportional to 152,239.89, 210,089.50 and 84,257

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Solution

The fourth proportional to 152,239.89, 210,089.50 and 84,257 is: 116,273.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,239.89 : 210,089.50 = 84,257 : x
  2. Step 2: Convert to fraction form
    152,239.89/210,089.50 = 84,257/x
  3. Step 3: Cross multiply
    152,239.89x = 210,089.50 × 84,257
  4. Step 4: Simplify right side
    152,239.89x = 17,701,511,001.50
  5. Step 5: Solve for x
    x = 17,701,511,001.50/152,239.89
  6. Step 6: Final answer
    x = 116,273.80

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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.