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Finding the Fourth Proportional to 146,159.40, 219,224.74 and 99,076.94

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Solution

The fourth proportional to 146,159.40, 219,224.74 and 99,076.94 is: 148,605.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,159.40 : 219,224.74 = 99,076.94 : x
  2. Step 2: Convert to fraction form
    146,159.40/219,224.74 = 99,076.94/x
  3. Step 3: Cross multiply
    146,159.40x = 219,224.74 × 99,076.94
  4. Step 4: Simplify right side
    146,159.40x = 21,720,116,411.50
  5. Step 5: Solve for x
    x = 21,720,116,411.50/146,159.40
  6. Step 6: Final answer
    x = 148,605.68

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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.