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Finding the Fourth Proportional to 149,863.50, 224,795.25 and 39,055.50

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Solution

The fourth proportional to 149,863.50, 224,795.25 and 39,055.50 is: 58,583.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,863.50 : 224,795.25 = 39,055.50 : x
  2. Step 2: Convert to fraction form
    149,863.50/224,795.25 = 39,055.50/x
  3. Step 3: Cross multiply
    149,863.50x = 224,795.25 × 39,055.50
  4. Step 4: Simplify right side
    149,863.50x = 8,779,490,886.38
  5. Step 5: Solve for x
    x = 8,779,490,886.38/149,863.50
  6. Step 6: Final answer
    x = 58,583.25

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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.