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Finding the Fourth Proportional to 134,502.78, 185,536.32 and 84,114.30

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Solution

The fourth proportional to 134,502.78, 185,536.32 and 84,114.30 is: 116,029.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,502.78 : 185,536.32 = 84,114.30 : x
  2. Step 2: Convert to fraction form
    134,502.78/185,536.32 = 84,114.30/x
  3. Step 3: Cross multiply
    134,502.78x = 185,536.32 × 84,114.30
  4. Step 4: Simplify right side
    134,502.78x = 15,606,257,681.38
  5. Step 5: Solve for x
    x = 15,606,257,681.38/134,502.78
  6. Step 6: Final answer
    x = 116,029.26

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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.