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Finding the Fourth Proportional to 153,872.65, 212,090.05 and 102,866.75

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Solution

The fourth proportional to 153,872.65, 212,090.05 and 102,866.75 is: 141,786.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,872.65 : 212,090.05 = 102,866.75 : x
  2. Step 2: Convert to fraction form
    153,872.65/212,090.05 = 102,866.75/x
  3. Step 3: Cross multiply
    153,872.65x = 212,090.05 × 102,866.75
  4. Step 4: Simplify right side
    153,872.65x = 21,817,014,150.84
  5. Step 5: Solve for x
    x = 21,817,014,150.84/153,872.65
  6. Step 6: Final answer
    x = 141,786.17

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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.