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Finding the Fourth Proportional to 161,957.10, 242,826.30 and 83,006.40

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Solution

The fourth proportional to 161,957.10, 242,826.30 and 83,006.40 is: 124,453.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,957.10 : 242,826.30 = 83,006.40 : x
  2. Step 2: Convert to fraction form
    161,957.10/242,826.30 = 83,006.40/x
  3. Step 3: Cross multiply
    161,957.10x = 242,826.30 × 83,006.40
  4. Step 4: Simplify right side
    161,957.10x = 20,156,136,988.32
  5. Step 5: Solve for x
    x = 20,156,136,988.32/161,957.10
  6. Step 6: Final answer
    x = 124,453.56

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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.