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Finding the Fourth Proportional to 219,128.05, 302,397.01 and 123,643.63

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Solution

The fourth proportional to 219,128.05, 302,397.01 and 123,643.63 is: 170,628.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,128.05 : 302,397.01 = 123,643.63 : x
  2. Step 2: Convert to fraction form
    219,128.05/302,397.01 = 123,643.63/x
  3. Step 3: Cross multiply
    219,128.05x = 302,397.01 × 123,643.63
  4. Step 4: Simplify right side
    219,128.05x = 37,389,464,017.55
  5. Step 5: Solve for x
    x = 37,389,464,017.55/219,128.05
  6. Step 6: Final answer
    x = 170,628.38

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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.