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Finding the Fourth Proportional to 252,319.98, 378,051.52 and 152,269.94

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Solution

The fourth proportional to 252,319.98, 378,051.52 and 152,269.94 is: 228,146.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,319.98 : 378,051.52 = 152,269.94 : x
  2. Step 2: Convert to fraction form
    252,319.98/378,051.52 = 152,269.94/x
  3. Step 3: Cross multiply
    252,319.98x = 378,051.52 × 152,269.94
  4. Step 4: Simplify right side
    252,319.98x = 57,565,882,267.31
  5. Step 5: Solve for x
    x = 57,565,882,267.31/252,319.98
  6. Step 6: Final answer
    x = 228,146.35

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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.