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Finding the Fourth Proportional to 149,905.10, 224,804.73 and 65,706.14

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Solution

The fourth proportional to 149,905.10, 224,804.73 and 65,706.14 is: 98,536.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,905.10 : 224,804.73 = 65,706.14 : x
  2. Step 2: Convert to fraction form
    149,905.10/224,804.73 = 65,706.14/x
  3. Step 3: Cross multiply
    149,905.10x = 224,804.73 × 65,706.14
  4. Step 4: Simplify right side
    149,905.10x = 14,771,051,062.04
  5. Step 5: Solve for x
    x = 14,771,051,062.04/149,905.10
  6. Step 6: Final answer
    x = 98,536.01

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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.