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Finding the Fourth Proportional to 174,641.22, 262,009.98 and 69,534

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Solution

The fourth proportional to 174,641.22, 262,009.98 and 69,534 is: 104,320.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,641.22 : 262,009.98 = 69,534 : x
  2. Step 2: Convert to fraction form
    174,641.22/262,009.98 = 69,534/x
  3. Step 3: Cross multiply
    174,641.22x = 262,009.98 × 69,534
  4. Step 4: Simplify right side
    174,641.22x = 18,218,601,949.32
  5. Step 5: Solve for x
    x = 18,218,601,949.32/174,641.22
  6. Step 6: Final answer
    x = 104,320.17

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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.