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Finding the Fourth Proportional to 227,802.10, 341,703.15 and 201,558.10

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Solution

The fourth proportional to 227,802.10, 341,703.15 and 201,558.10 is: 302,337.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,802.10 : 341,703.15 = 201,558.10 : x
  2. Step 2: Convert to fraction form
    227,802.10/341,703.15 = 201,558.10/x
  3. Step 3: Cross multiply
    227,802.10x = 341,703.15 × 201,558.10
  4. Step 4: Simplify right side
    227,802.10x = 68,873,037,678.02
  5. Step 5: Solve for x
    x = 68,873,037,678.02/227,802.10
  6. Step 6: Final answer
    x = 302,337.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.