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Finding the Fourth Proportional to 291,898.92, 402,811.38 and 164,572.68

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Solution

The fourth proportional to 291,898.92, 402,811.38 and 164,572.68 is: 227,105.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,898.92 : 402,811.38 = 164,572.68 : x
  2. Step 2: Convert to fraction form
    291,898.92/402,811.38 = 164,572.68/x
  3. Step 3: Cross multiply
    291,898.92x = 402,811.38 × 164,572.68
  4. Step 4: Simplify right side
    291,898.92x = 66,291,748,341.10
  5. Step 5: Solve for x
    x = 66,291,748,341.10/291,898.92
  6. Step 6: Final answer
    x = 227,105.15

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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.