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Finding the Fourth Proportional to 298,053.02, 411,312.93 and 163,917.02

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Solution

The fourth proportional to 298,053.02, 411,312.93 and 163,917.02 is: 226,205.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,053.02 : 411,312.93 = 163,917.02 : x
  2. Step 2: Convert to fraction form
    298,053.02/411,312.93 = 163,917.02/x
  3. Step 3: Cross multiply
    298,053.02x = 411,312.93 × 163,917.02
  4. Step 4: Simplify right side
    298,053.02x = 67,421,189,773.07
  5. Step 5: Solve for x
    x = 67,421,189,773.07/298,053.02
  6. Step 6: Final answer
    x = 226,205.36

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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.