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Finding the Fourth Proportional to 273,574.40, 410,309.76 and 96,039.68

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Solution

The fourth proportional to 273,574.40, 410,309.76 and 96,039.68 is: 144,041.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,574.40 : 410,309.76 = 96,039.68 : x
  2. Step 2: Convert to fraction form
    273,574.40/410,309.76 = 96,039.68/x
  3. Step 3: Cross multiply
    273,574.40x = 410,309.76 × 96,039.68
  4. Step 4: Simplify right side
    273,574.40x = 39,406,018,051.28
  5. Step 5: Solve for x
    x = 39,406,018,051.28/273,574.40
  6. Step 6: Final answer
    x = 144,041.32

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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.