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Finding the Fourth Proportional to 224,575.50, 309,914.46 and 123,973.50

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Solution

The fourth proportional to 224,575.50, 309,914.46 and 123,973.50 is: 171,083.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,575.50 : 309,914.46 = 123,973.50 : x
  2. Step 2: Convert to fraction form
    224,575.50/309,914.46 = 123,973.50/x
  3. Step 3: Cross multiply
    224,575.50x = 309,914.46 × 123,973.50
  4. Step 4: Simplify right side
    224,575.50x = 38,421,180,306.81
  5. Step 5: Solve for x
    x = 38,421,180,306.81/224,575.50
  6. Step 6: Final answer
    x = 171,083.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.