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Finding the Fourth Proportional to 315,738.81, 473,601.42 and 102,506.31

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Solution

The fourth proportional to 315,738.81, 473,601.42 and 102,506.31 is: 153,757.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,738.81 : 473,601.42 = 102,506.31 : x
  2. Step 2: Convert to fraction form
    315,738.81/473,601.42 = 102,506.31/x
  3. Step 3: Cross multiply
    315,738.81x = 473,601.42 × 102,506.31
  4. Step 4: Simplify right side
    315,738.81x = 48,547,133,974.96
  5. Step 5: Solve for x
    x = 48,547,133,974.96/315,738.81
  6. Step 6: Final answer
    x = 153,757.26

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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.