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Finding the Fourth Proportional to 129,567.34, 178,808.46 and 72,206.74

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Solution

The fourth proportional to 129,567.34, 178,808.46 and 72,206.74 is: 99,648.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,567.34 : 178,808.46 = 72,206.74 : x
  2. Step 2: Convert to fraction form
    129,567.34/178,808.46 = 72,206.74/x
  3. Step 3: Cross multiply
    129,567.34x = 178,808.46 × 72,206.74
  4. Step 4: Simplify right side
    129,567.34x = 12,911,175,981.02
  5. Step 5: Solve for x
    x = 12,911,175,981.02/129,567.34
  6. Step 6: Final answer
    x = 99,648.38

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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.