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Finding the Fourth Proportional to 229,434.40, 316,564.08 and 133,886.56

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Solution

The fourth proportional to 229,434.40, 316,564.08 and 133,886.56 is: 184,731.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,434.40 : 316,564.08 = 133,886.56 : x
  2. Step 2: Convert to fraction form
    229,434.40/316,564.08 = 133,886.56/x
  3. Step 3: Cross multiply
    229,434.40x = 316,564.08 × 133,886.56
  4. Step 4: Simplify right side
    229,434.40x = 42,383,675,690.76
  5. Step 5: Solve for x
    x = 42,383,675,690.76/229,434.40
  6. Step 6: Final answer
    x = 184,731.13

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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.