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Finding the Fourth Proportional to 152,427.80, 228,204.30 and 148,053.80

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Solution

The fourth proportional to 152,427.80, 228,204.30 and 148,053.80 is: 221,655.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,427.80 : 228,204.30 = 148,053.80 : x
  2. Step 2: Convert to fraction form
    152,427.80/228,204.30 = 148,053.80/x
  3. Step 3: Cross multiply
    152,427.80x = 228,204.30 × 148,053.80
  4. Step 4: Simplify right side
    152,427.80x = 33,786,513,791.34
  5. Step 5: Solve for x
    x = 33,786,513,791.34/152,427.80
  6. Step 6: Final answer
    x = 221,655.85

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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.