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Finding the Fourth Proportional to 156,902.18, 216,525.28 and 85,282.01

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Solution

The fourth proportional to 156,902.18, 216,525.28 and 85,282.01 is: 117,689.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,902.18 : 216,525.28 = 85,282.01 : x
  2. Step 2: Convert to fraction form
    156,902.18/216,525.28 = 85,282.01/x
  3. Step 3: Cross multiply
    156,902.18x = 216,525.28 × 85,282.01
  4. Step 4: Simplify right side
    156,902.18x = 18,465,709,798.38
  5. Step 5: Solve for x
    x = 18,465,709,798.38/156,902.18
  6. Step 6: Final answer
    x = 117,689.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.