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Finding the Fourth Proportional to 137,457.60, 206,186.40 and 106,315.20

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Solution

The fourth proportional to 137,457.60, 206,186.40 and 106,315.20 is: 159,472.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,457.60 : 206,186.40 = 106,315.20 : x
  2. Step 2: Convert to fraction form
    137,457.60/206,186.40 = 106,315.20/x
  3. Step 3: Cross multiply
    137,457.60x = 206,186.40 × 106,315.20
  4. Step 4: Simplify right side
    137,457.60x = 21,920,748,353.28
  5. Step 5: Solve for x
    x = 21,920,748,353.28/137,457.60
  6. Step 6: Final answer
    x = 159,472.80

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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.