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Finding the Fourth Proportional to 117,123.84, 175,667.40 and 38,220.66

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Solution

The fourth proportional to 117,123.84, 175,667.40 and 38,220.66 is: 57,325.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,123.84 : 175,667.40 = 38,220.66 : x
  2. Step 2: Convert to fraction form
    117,123.84/175,667.40 = 38,220.66/x
  3. Step 3: Cross multiply
    117,123.84x = 175,667.40 × 38,220.66
  4. Step 4: Simplify right side
    117,123.84x = 6,714,123,968.48
  5. Step 5: Solve for x
    x = 6,714,123,968.48/117,123.84
  6. Step 6: Final answer
    x = 57,325.00

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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.