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Finding the Fourth Proportional to 224,947.23, 310,226 and 186,646.03

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Solution

The fourth proportional to 224,947.23, 310,226 and 186,646.03 is: 257,404.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,947.23 : 310,226 = 186,646.03 : x
  2. Step 2: Convert to fraction form
    224,947.23/310,226 = 186,646.03/x
  3. Step 3: Cross multiply
    224,947.23x = 310,226 × 186,646.03
  4. Step 4: Simplify right side
    224,947.23x = 57,902,451,302.78
  5. Step 5: Solve for x
    x = 57,902,451,302.78/224,947.23
  6. Step 6: Final answer
    x = 257,404.60

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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.