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Finding the Fourth Proportional to 101,346.96, 152,036.82 and 42,184.94

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Solution

The fourth proportional to 101,346.96, 152,036.82 and 42,184.94 is: 63,284.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,346.96 : 152,036.82 = 42,184.94 : x
  2. Step 2: Convert to fraction form
    101,346.96/152,036.82 = 42,184.94/x
  3. Step 3: Cross multiply
    101,346.96x = 152,036.82 × 42,184.94
  4. Step 4: Simplify right side
    101,346.96x = 6,413,664,129.49
  5. Step 5: Solve for x
    x = 6,413,664,129.49/101,346.96
  6. Step 6: Final answer
    x = 63,284.23

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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.