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Finding the Fourth Proportional to 114,830.63, 172,234.80 and 34,869.29

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Solution

The fourth proportional to 114,830.63, 172,234.80 and 34,869.29 is: 52,300.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,830.63 : 172,234.80 = 34,869.29 : x
  2. Step 2: Convert to fraction form
    114,830.63/172,234.80 = 34,869.29/x
  3. Step 3: Cross multiply
    114,830.63x = 172,234.80 × 34,869.29
  4. Step 4: Simplify right side
    114,830.63x = 6,005,704,358.76
  5. Step 5: Solve for x
    x = 6,005,704,358.76/114,830.63
  6. Step 6: Final answer
    x = 52,300.55

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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.