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Finding the Fourth Proportional to 152,076.42, 209,866.84 and 84,098.01

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Solution

The fourth proportional to 152,076.42, 209,866.84 and 84,098.01 is: 116,056.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,076.42 : 209,866.84 = 84,098.01 : x
  2. Step 2: Convert to fraction form
    152,076.42/209,866.84 = 84,098.01/x
  3. Step 3: Cross multiply
    152,076.42x = 209,866.84 × 84,098.01
  4. Step 4: Simplify right side
    152,076.42x = 17,649,383,182.11
  5. Step 5: Solve for x
    x = 17,649,383,182.11/152,076.42
  6. Step 6: Final answer
    x = 116,056.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.