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Finding the Fourth Proportional to 224,142.39, 309,316.64 and 127,346.40

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Solution

The fourth proportional to 224,142.39, 309,316.64 and 127,346.40 is: 175,738.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,142.39 : 309,316.64 = 127,346.40 : x
  2. Step 2: Convert to fraction form
    224,142.39/309,316.64 = 127,346.40/x
  3. Step 3: Cross multiply
    224,142.39x = 309,316.64 × 127,346.40
  4. Step 4: Simplify right side
    224,142.39x = 39,390,359,927.36
  5. Step 5: Solve for x
    x = 39,390,359,927.36/224,142.39
  6. Step 6: Final answer
    x = 175,738.11

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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.