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Finding the Fourth Proportional to 302,808.11, 417,875.58 and 164,986.38

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Solution

The fourth proportional to 302,808.11, 417,875.58 and 164,986.38 is: 227,681.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,808.11 : 417,875.58 = 164,986.38 : x
  2. Step 2: Convert to fraction form
    302,808.11/417,875.58 = 164,986.38/x
  3. Step 3: Cross multiply
    302,808.11x = 417,875.58 × 164,986.38
  4. Step 4: Simplify right side
    302,808.11x = 68,943,779,234.60
  5. Step 5: Solve for x
    x = 68,943,779,234.60/302,808.11
  6. Step 6: Final answer
    x = 227,681.42

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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.