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Finding the Fourth Proportional to 154,683.92, 232,038.12 and 49,502.90

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Solution

The fourth proportional to 154,683.92, 232,038.12 and 49,502.90 is: 74,258.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,683.92 : 232,038.12 = 49,502.90 : x
  2. Step 2: Convert to fraction form
    154,683.92/232,038.12 = 49,502.90/x
  3. Step 3: Cross multiply
    154,683.92x = 232,038.12 × 49,502.90
  4. Step 4: Simplify right side
    154,683.92x = 11,486,559,850.55
  5. Step 5: Solve for x
    x = 11,486,559,850.55/154,683.92
  6. Step 6: Final answer
    x = 74,258.27

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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.