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Finding the Fourth Proportional to 149,842.30, 224,731.05 and 65,602.30

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Solution

The fourth proportional to 149,842.30, 224,731.05 and 65,602.30 is: 98,389.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,842.30 : 224,731.05 = 65,602.30 : x
  2. Step 2: Convert to fraction form
    149,842.30/224,731.05 = 65,602.30/x
  3. Step 3: Cross multiply
    149,842.30x = 224,731.05 × 65,602.30
  4. Step 4: Simplify right side
    149,842.30x = 14,742,873,761.42
  5. Step 5: Solve for x
    x = 14,742,873,761.42/149,842.30
  6. Step 6: Final answer
    x = 98,389.26

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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.