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Finding the Fourth Proportional to 190,256.80, 285,385.04 and 65,588

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Solution

The fourth proportional to 190,256.80, 285,385.04 and 65,588 is: 98,381.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,256.80 : 285,385.04 = 65,588 : x
  2. Step 2: Convert to fraction form
    190,256.80/285,385.04 = 65,588/x
  3. Step 3: Cross multiply
    190,256.80x = 285,385.04 × 65,588
  4. Step 4: Simplify right side
    190,256.80x = 18,717,834,003.52
  5. Step 5: Solve for x
    x = 18,717,834,003.52/190,256.80
  6. Step 6: Final answer
    x = 98,381.94

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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.