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Finding the Fourth Proportional to 224,969.13, 310,256.19 and 186,667.74

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Solution

The fourth proportional to 224,969.13, 310,256.19 and 186,667.74 is: 257,434.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,969.13 : 310,256.19 = 186,667.74 : x
  2. Step 2: Convert to fraction form
    224,969.13/310,256.19 = 186,667.74/x
  3. Step 3: Cross multiply
    224,969.13x = 310,256.19 × 186,667.74
  4. Step 4: Simplify right side
    224,969.13x = 57,914,821,808.31
  5. Step 5: Solve for x
    x = 57,914,821,808.31/224,969.13
  6. Step 6: Final answer
    x = 257,434.53

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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.