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Finding the Fourth Proportional to 291,322.51, 402,063.38 and 164,022.91

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Solution

The fourth proportional to 291,322.51, 402,063.38 and 164,022.91 is: 226,373.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,322.51 : 402,063.38 = 164,022.91 : x
  2. Step 2: Convert to fraction form
    291,322.51/402,063.38 = 164,022.91/x
  3. Step 3: Cross multiply
    291,322.51x = 402,063.38 × 164,022.91
  4. Step 4: Simplify right side
    291,322.51x = 65,947,604,381.85
  5. Step 5: Solve for x
    x = 65,947,604,381.85/291,322.51
  6. Step 6: Final answer
    x = 226,373.19

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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.