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Finding the Fourth Proportional to 224,580.84, 309,902.93 and 127,758.93

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Solution

The fourth proportional to 224,580.84, 309,902.93 and 127,758.93 is: 176,296.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,580.84 : 309,902.93 = 127,758.93 : x
  2. Step 2: Convert to fraction form
    224,580.84/309,902.93 = 127,758.93/x
  3. Step 3: Cross multiply
    224,580.84x = 309,902.93 × 127,758.93
  4. Step 4: Simplify right side
    224,580.84x = 39,592,865,418.83
  5. Step 5: Solve for x
    x = 39,592,865,418.83/224,580.84
  6. Step 6: Final answer
    x = 176,296.72

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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.