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Finding the Fourth Proportional to 259,649.28, 358,343.28 and 152,223.84

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Solution

The fourth proportional to 259,649.28, 358,343.28 and 152,223.84 is: 210,084.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,649.28 : 358,343.28 = 152,223.84 : x
  2. Step 2: Convert to fraction form
    259,649.28/358,343.28 = 152,223.84/x
  3. Step 3: Cross multiply
    259,649.28x = 358,343.28 × 152,223.84
  4. Step 4: Simplify right side
    259,649.28x = 54,548,390,119.80
  5. Step 5: Solve for x
    x = 54,548,390,119.80/259,649.28
  6. Step 6: Final answer
    x = 210,084.89

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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.