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Finding the Fourth Proportional to 233,228.34, 349,828.56 and 137,219.40

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Solution

The fourth proportional to 233,228.34, 349,828.56 and 137,219.40 is: 205,820.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,228.34 : 349,828.56 = 137,219.40 : x
  2. Step 2: Convert to fraction form
    233,228.34/349,828.56 = 137,219.40/x
  3. Step 3: Cross multiply
    233,228.34x = 349,828.56 × 137,219.40
  4. Step 4: Simplify right side
    233,228.34x = 48,003,265,106.06
  5. Step 5: Solve for x
    x = 48,003,265,106.06/233,228.34
  6. Step 6: Final answer
    x = 205,820.89

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