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Finding the Fourth Proportional to 161,205.40, 241,808.10 and 149,541.40

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Solution

The fourth proportional to 161,205.40, 241,808.10 and 149,541.40 is: 224,312.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,205.40 : 241,808.10 = 149,541.40 : x
  2. Step 2: Convert to fraction form
    161,205.40/241,808.10 = 149,541.40/x
  3. Step 3: Cross multiply
    161,205.40x = 241,808.10 × 149,541.40
  4. Step 4: Simplify right side
    161,205.40x = 36,160,321,805.34
  5. Step 5: Solve for x
    x = 36,160,321,805.34/161,205.40
  6. Step 6: Final answer
    x = 224,312.10

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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.