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Finding the Fourth Proportional to 291,966.51, 402,987.18 and 164,715.92

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Solution

The fourth proportional to 291,966.51, 402,987.18 and 164,715.92 is: 227,349.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,966.51 : 402,987.18 = 164,715.92 : x
  2. Step 2: Convert to fraction form
    291,966.51/402,987.18 = 164,715.92/x
  3. Step 3: Cross multiply
    291,966.51x = 402,987.18 × 164,715.92
  4. Step 4: Simplify right side
    291,966.51x = 66,378,404,101.91
  5. Step 5: Solve for x
    x = 66,378,404,101.91/291,966.51
  6. Step 6: Final answer
    x = 227,349.38

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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.