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Finding the Fourth Proportional to 233,076.10, 349,873.35 and 144,429.70

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Solution

The fourth proportional to 233,076.10, 349,873.35 and 144,429.70 is: 216,805.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,076.10 : 349,873.35 = 144,429.70 : x
  2. Step 2: Convert to fraction form
    233,076.10/349,873.35 = 144,429.70/x
  3. Step 3: Cross multiply
    233,076.10x = 349,873.35 × 144,429.70
  4. Step 4: Simplify right side
    233,076.10x = 50,532,102,978.50
  5. Step 5: Solve for x
    x = 50,532,102,978.50/233,076.10
  6. Step 6: Final answer
    x = 216,805.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.