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Finding the Fourth Proportional to 252,319.71, 378,051.13 and 152,269.71

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Solution

The fourth proportional to 252,319.71, 378,051.13 and 152,269.71 is: 228,146.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,319.71 : 378,051.13 = 152,269.71 : x
  2. Step 2: Convert to fraction form
    252,319.71/378,051.13 = 152,269.71/x
  3. Step 3: Cross multiply
    252,319.71x = 378,051.13 × 152,269.71
  4. Step 4: Simplify right side
    252,319.71x = 57,565,735,930.27
  5. Step 5: Solve for x
    x = 57,565,735,930.27/252,319.71
  6. Step 6: Final answer
    x = 228,146.01

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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.