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Finding the Fourth Proportional to 219,475.25, 302,900.43 and 123,988.10

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Solution

The fourth proportional to 219,475.25, 302,900.43 and 123,988.10 is: 171,117.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,475.25 : 302,900.43 = 123,988.10 : x
  2. Step 2: Convert to fraction form
    219,475.25/302,900.43 = 123,988.10/x
  3. Step 3: Cross multiply
    219,475.25x = 302,900.43 × 123,988.10
  4. Step 4: Simplify right side
    219,475.25x = 37,556,047,290.38
  5. Step 5: Solve for x
    x = 37,556,047,290.38/219,475.25
  6. Step 6: Final answer
    x = 171,117.46

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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.