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Finding the Fourth Proportional to 219,071.36, 302,316.16 and 123,609.12

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Solution

The fourth proportional to 219,071.36, 302,316.16 and 123,609.12 is: 170,579.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,071.36 : 302,316.16 = 123,609.12 : x
  2. Step 2: Convert to fraction form
    219,071.36/302,316.16 = 123,609.12/x
  3. Step 3: Cross multiply
    219,071.36x = 302,316.16 × 123,609.12
  4. Step 4: Simplify right side
    219,071.36x = 37,369,034,499.38
  5. Step 5: Solve for x
    x = 37,369,034,499.38/219,071.36
  6. Step 6: Final answer
    x = 170,579.28

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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.