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Finding the Fourth Proportional to 252,498.72, 378,784.08 and 117,497.76

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Solution

The fourth proportional to 252,498.72, 378,784.08 and 117,497.76 is: 176,263.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,498.72 : 378,784.08 = 117,497.76 : x
  2. Step 2: Convert to fraction form
    252,498.72/378,784.08 = 117,497.76/x
  3. Step 3: Cross multiply
    252,498.72x = 378,784.08 × 117,497.76
  4. Step 4: Simplify right side
    252,498.72x = 44,506,280,923.66
  5. Step 5: Solve for x
    x = 44,506,280,923.66/252,498.72
  6. Step 6: Final answer
    x = 176,263.39

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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.