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Finding the Fourth Proportional to 149,564.30, 224,091.30 and 70,516.40

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Solution

The fourth proportional to 149,564.30, 224,091.30 and 70,516.40 is: 105,654.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,564.30 : 224,091.30 = 70,516.40 : x
  2. Step 2: Convert to fraction form
    149,564.30/224,091.30 = 70,516.40/x
  3. Step 3: Cross multiply
    149,564.30x = 224,091.30 × 70,516.40
  4. Step 4: Simplify right side
    149,564.30x = 15,802,111,747.32
  5. Step 5: Solve for x
    x = 15,802,111,747.32/149,564.30
  6. Step 6: Final answer
    x = 105,654.30

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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.