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Finding the Fourth Proportional to 561,461.67, 842,102.06 and 156,664.35

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Solution

The fourth proportional to 561,461.67, 842,102.06 and 156,664.35 is: 234,971.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,461.67 : 842,102.06 = 156,664.35 : x
  2. Step 2: Convert to fraction form
    561,461.67/842,102.06 = 156,664.35/x
  3. Step 3: Cross multiply
    561,461.67x = 842,102.06 × 156,664.35
  4. Step 4: Simplify right side
    561,461.67x = 131,927,371,080.24
  5. Step 5: Solve for x
    x = 131,927,371,080.24/561,461.67
  6. Step 6: Final answer
    x = 234,971.29

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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.