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Finding the Fourth Proportional to 229,013.33, 316,146.65 and 152,659.69

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Solution

The fourth proportional to 229,013.33, 316,146.65 and 152,659.69 is: 210,742.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,013.33 : 316,146.65 = 152,659.69 : x
  2. Step 2: Convert to fraction form
    229,013.33/316,146.65 = 152,659.69/x
  3. Step 3: Cross multiply
    229,013.33x = 316,146.65 × 152,659.69
  4. Step 4: Simplify right side
    229,013.33x = 48,262,848,029.87
  5. Step 5: Solve for x
    x = 48,262,848,029.87/229,013.33
  6. Step 6: Final answer
    x = 210,742.53

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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.