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Finding the Fourth Proportional to 114,926.10, 172,000.35 and 100,929.30

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Solution

The fourth proportional to 114,926.10, 172,000.35 and 100,929.30 is: 151,052.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,926.10 : 172,000.35 = 100,929.30 : x
  2. Step 2: Convert to fraction form
    114,926.10/172,000.35 = 100,929.30/x
  3. Step 3: Cross multiply
    114,926.10x = 172,000.35 × 100,929.30
  4. Step 4: Simplify right side
    114,926.10x = 17,359,874,925.26
  5. Step 5: Solve for x
    x = 17,359,874,925.26/114,926.10
  6. Step 6: Final answer
    x = 151,052.50

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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.