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Finding the Fourth Proportional to 315,438.71, 473,232.65 and 102,206.27

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Solution

The fourth proportional to 315,438.71, 473,232.65 and 102,206.27 is: 153,333.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,438.71 : 473,232.65 = 102,206.27 : x
  2. Step 2: Convert to fraction form
    315,438.71/473,232.65 = 102,206.27/x
  3. Step 3: Cross multiply
    315,438.71x = 473,232.65 × 102,206.27
  4. Step 4: Simplify right side
    315,438.71x = 48,367,343,487.68
  5. Step 5: Solve for x
    x = 48,367,343,487.68/315,438.71
  6. Step 6: Final answer
    x = 153,333.57

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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.