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Finding the Fourth Proportional to 230,522.96, 345,701.25 and 97,413.50

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Solution

The fourth proportional to 230,522.96, 345,701.25 and 97,413.50 is: 146,085.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,522.96 : 345,701.25 = 97,413.50 : x
  2. Step 2: Convert to fraction form
    230,522.96/345,701.25 = 97,413.50/x
  3. Step 3: Cross multiply
    230,522.96x = 345,701.25 × 97,413.50
  4. Step 4: Simplify right side
    230,522.96x = 33,675,966,988.37
  5. Step 5: Solve for x
    x = 33,675,966,988.37/230,522.96
  6. Step 6: Final answer
    x = 146,085.09

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Why These Related Problems?

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