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Finding the Fourth Proportional to 192,457.40, 265,585.70 and 106,414.89

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Solution

The fourth proportional to 192,457.40, 265,585.70 and 106,414.89 is: 146,849.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,457.40 : 265,585.70 = 106,414.89 : x
  2. Step 2: Convert to fraction form
    192,457.40/265,585.70 = 106,414.89/x
  3. Step 3: Cross multiply
    192,457.40x = 265,585.70 × 106,414.89
  4. Step 4: Simplify right side
    192,457.40x = 28,262,272,519.00
  5. Step 5: Solve for x
    x = 28,262,272,519.00/192,457.40
  6. Step 6: Final answer
    x = 146,849.50

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1.5x scale

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.