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Finding the Fourth Proportional to 146,290.24, 219,412.95 and 46,437.49

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Solution

The fourth proportional to 146,290.24, 219,412.95 and 46,437.49 is: 69,649.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,290.24 : 219,412.95 = 46,437.49 : x
  2. Step 2: Convert to fraction form
    146,290.24/219,412.95 = 46,437.49/x
  3. Step 3: Cross multiply
    146,290.24x = 219,412.95 × 46,437.49
  4. Step 4: Simplify right side
    146,290.24x = 10,188,986,671.50
  5. Step 5: Solve for x
    x = 10,188,986,671.50/146,290.24
  6. Step 6: Final answer
    x = 69,649.12

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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.