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Finding the Fourth Proportional to 146,184.49, 219,364.21 and 63,078.49

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Solution

The fourth proportional to 146,184.49, 219,364.21 and 63,078.49 is: 94,655.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,184.49 : 219,364.21 = 63,078.49 : x
  2. Step 2: Convert to fraction form
    146,184.49/219,364.21 = 63,078.49/x
  3. Step 3: Cross multiply
    146,184.49x = 219,364.21 × 63,078.49
  4. Step 4: Simplify right side
    146,184.49x = 13,837,161,714.63
  5. Step 5: Solve for x
    x = 13,837,161,714.63/146,184.49
  6. Step 6: Final answer
    x = 94,655.47

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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.