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Finding the Fourth Proportional to 233,024.40, 349,277.40 and 127,918.80

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Solution

The fourth proportional to 233,024.40, 349,277.40 and 127,918.80 is: 191,735.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,024.40 : 349,277.40 = 127,918.80 : x
  2. Step 2: Convert to fraction form
    233,024.40/349,277.40 = 127,918.80/x
  3. Step 3: Cross multiply
    233,024.40x = 349,277.40 × 127,918.80
  4. Step 4: Simplify right side
    233,024.40x = 44,679,145,875.12
  5. Step 5: Solve for x
    x = 44,679,145,875.12/233,024.40
  6. Step 6: Final answer
    x = 191,735.91

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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.