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Finding the Fourth Proportional to 298,288.01, 411,637.51 and 164,152.01

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Solution

The fourth proportional to 298,288.01, 411,637.51 and 164,152.01 is: 226,529.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,288.01 : 411,637.51 = 164,152.01 : x
  2. Step 2: Convert to fraction form
    298,288.01/411,637.51 = 164,152.01/x
  3. Step 3: Cross multiply
    298,288.01x = 411,637.51 × 164,152.01
  4. Step 4: Simplify right side
    298,288.01x = 67,571,124,039.18
  5. Step 5: Solve for x
    x = 67,571,124,039.18/298,288.01
  6. Step 6: Final answer
    x = 226,529.80

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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.