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Finding the Fourth Proportional to 156,425.64, 216,045.57 and 106,037.16

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Solution

The fourth proportional to 156,425.64, 216,045.57 and 106,037.16 is: 146,452.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,425.64 : 216,045.57 = 106,037.16 : x
  2. Step 2: Convert to fraction form
    156,425.64/216,045.57 = 106,037.16/x
  3. Step 3: Cross multiply
    156,425.64x = 216,045.57 × 106,037.16
  4. Step 4: Simplify right side
    156,425.64x = 22,908,858,673.38
  5. Step 5: Solve for x
    x = 22,908,858,673.38/156,425.64
  6. Step 6: Final answer
    x = 146,452.07

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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.