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Finding the Fourth Proportional to 233,063.52, 349,595.46 and 99,857.40

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Solution

The fourth proportional to 233,063.52, 349,595.46 and 99,857.40 is: 149,786.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,063.52 : 349,595.46 = 99,857.40 : x
  2. Step 2: Convert to fraction form
    233,063.52/349,595.46 = 99,857.40/x
  3. Step 3: Cross multiply
    233,063.52x = 349,595.46 × 99,857.40
  4. Step 4: Simplify right side
    233,063.52x = 34,909,693,687.40
  5. Step 5: Solve for x
    x = 34,909,693,687.40/233,063.52
  6. Step 6: Final answer
    x = 149,786.18

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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.