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Finding the Fourth Proportional to 102,841.38, 153,835.47 and 96,542.82

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Solution

The fourth proportional to 102,841.38, 153,835.47 and 96,542.82 is: 144,413.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,841.38 : 153,835.47 = 96,542.82 : x
  2. Step 2: Convert to fraction form
    102,841.38/153,835.47 = 96,542.82/x
  3. Step 3: Cross multiply
    102,841.38x = 153,835.47 × 96,542.82
  4. Step 4: Simplify right side
    102,841.38x = 14,851,710,089.83
  5. Step 5: Solve for x
    x = 14,851,710,089.83/102,841.38
  6. Step 6: Final answer
    x = 144,413.76

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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.