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Finding the Fourth Proportional to 190,472.04, 285,708.54 and 57,352.68

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Solution

The fourth proportional to 190,472.04, 285,708.54 and 57,352.68 is: 86,029.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,472.04 : 285,708.54 = 57,352.68 : x
  2. Step 2: Convert to fraction form
    190,472.04/285,708.54 = 57,352.68/x
  3. Step 3: Cross multiply
    190,472.04x = 285,708.54 × 57,352.68
  4. Step 4: Simplify right side
    190,472.04x = 16,386,150,467.89
  5. Step 5: Solve for x
    x = 16,386,150,467.89/190,472.04
  6. Step 6: Final answer
    x = 86,029.16

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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.