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Finding the Fourth Proportional to 375,760.84, 563,477.42 and 142,125

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Solution

The fourth proportional to 375,760.84, 563,477.42 and 142,125 is: 213,125.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,760.84 : 563,477.42 = 142,125 : x
  2. Step 2: Convert to fraction form
    375,760.84/563,477.42 = 142,125/x
  3. Step 3: Cross multiply
    375,760.84x = 563,477.42 × 142,125
  4. Step 4: Simplify right side
    375,760.84x = 80,084,228,317.50
  5. Step 5: Solve for x
    x = 80,084,228,317.50/375,760.84
  6. Step 6: Final answer
    x = 213,125.53

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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.