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Finding the Fourth Proportional to 252,312.97, 378,041.02 and 152,262.93

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Solution

The fourth proportional to 252,312.97, 378,041.02 and 152,262.93 is: 228,135.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,312.97 : 378,041.02 = 152,262.93 : x
  2. Step 2: Convert to fraction form
    252,312.97/378,041.02 = 152,262.93/x
  3. Step 3: Cross multiply
    252,312.97x = 378,041.02 × 152,262.93
  4. Step 4: Simplify right side
    252,312.97x = 57,561,633,365.39
  5. Step 5: Solve for x
    x = 57,561,633,365.39/252,312.97
  6. Step 6: Final answer
    x = 228,135.85

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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.