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Finding the Fourth Proportional to 224,585.84, 309,909.82 and 127,763.94

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Solution

The fourth proportional to 224,585.84, 309,909.82 and 127,763.94 is: 176,303.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,585.84 : 309,909.82 = 127,763.94 : x
  2. Step 2: Convert to fraction form
    224,585.84/309,909.82 = 127,763.94/x
  3. Step 3: Cross multiply
    224,585.84x = 309,909.82 × 127,763.94
  4. Step 4: Simplify right side
    224,585.84x = 39,595,299,647.89
  5. Step 5: Solve for x
    x = 39,595,299,647.89/224,585.84
  6. Step 6: Final answer
    x = 176,303.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.