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Finding the Fourth Proportional to 101,605.86, 152,384.28 and 42,409.44

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Solution

The fourth proportional to 101,605.86, 152,384.28 and 42,409.44 is: 63,603.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,605.86 : 152,384.28 = 42,409.44 : x
  2. Step 2: Convert to fraction form
    101,605.86/152,384.28 = 42,409.44/x
  3. Step 3: Cross multiply
    101,605.86x = 152,384.28 × 42,409.44
  4. Step 4: Simplify right side
    101,605.86x = 6,462,531,979.60
  5. Step 5: Solve for x
    x = 6,462,531,979.60/101,605.86
  6. Step 6: Final answer
    x = 63,603.93

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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.