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Finding the Fourth Proportional to 156,906, 235,398.96 and 46,098

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Solution

The fourth proportional to 156,906, 235,398.96 and 46,098 is: 69,158.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,906 : 235,398.96 = 46,098 : x
  2. Step 2: Convert to fraction form
    156,906/235,398.96 = 46,098/x
  3. Step 3: Cross multiply
    156,906x = 235,398.96 × 46,098
  4. Step 4: Simplify right side
    156,906x = 10,851,421,258.08
  5. Step 5: Solve for x
    x = 10,851,421,258.08/156,906
  6. Step 6: Final answer
    x = 69,158.74

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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.