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Finding the Fourth Proportional to 192,089.68, 265,088 and 106,048.40

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Solution

The fourth proportional to 192,089.68, 265,088 and 106,048.40 is: 146,349.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,089.68 : 265,088 = 106,048.40 : x
  2. Step 2: Convert to fraction form
    192,089.68/265,088 = 106,048.40/x
  3. Step 3: Cross multiply
    192,089.68x = 265,088 × 106,048.40
  4. Step 4: Simplify right side
    192,089.68x = 28,112,158,259.20
  5. Step 5: Solve for x
    x = 28,112,158,259.20/192,089.68
  6. Step 6: Final answer
    x = 146,349.13

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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.