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Finding the Fourth Proportional to 149,893.80, 224,731.35 and 61,101.60

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Solution

The fourth proportional to 149,893.80, 224,731.35 and 61,101.60 is: 91,607.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,893.80 : 224,731.35 = 61,101.60 : x
  2. Step 2: Convert to fraction form
    149,893.80/224,731.35 = 61,101.60/x
  3. Step 3: Cross multiply
    149,893.80x = 224,731.35 × 61,101.60
  4. Step 4: Simplify right side
    149,893.80x = 13,731,445,055.16
  5. Step 5: Solve for x
    x = 13,731,445,055.16/149,893.80
  6. Step 6: Final answer
    x = 91,607.83

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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.