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Finding the Fourth Proportional to 162,885.86, 224,706.34 and 108,465.40

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Solution

The fourth proportional to 162,885.86, 224,706.34 and 108,465.40 is: 149,631.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,885.86 : 224,706.34 = 108,465.40 : x
  2. Step 2: Convert to fraction form
    162,885.86/224,706.34 = 108,465.40/x
  3. Step 3: Cross multiply
    162,885.86x = 224,706.34 × 108,465.40
  4. Step 4: Simplify right side
    162,885.86x = 24,372,863,050.64
  5. Step 5: Solve for x
    x = 24,372,863,050.64/162,885.86
  6. Step 6: Final answer
    x = 149,631.55

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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.