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Finding the Fourth Proportional to 167,402.02, 230,929.09 and 106,909.06

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Solution

The fourth proportional to 167,402.02, 230,929.09 and 106,909.06 is: 147,479.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,402.02 : 230,929.09 = 106,909.06 : x
  2. Step 2: Convert to fraction form
    167,402.02/230,929.09 = 106,909.06/x
  3. Step 3: Cross multiply
    167,402.02x = 230,929.09 × 106,909.06
  4. Step 4: Simplify right side
    167,402.02x = 24,688,411,938.56
  5. Step 5: Solve for x
    x = 24,688,411,938.56/167,402.02
  6. Step 6: Final answer
    x = 147,479.77

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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.