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Finding the Fourth Proportional to 153,028.58, 211,165.92 and 85,041.23

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Solution

The fourth proportional to 153,028.58, 211,165.92 and 85,041.23 is: 117,349.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,028.58 : 211,165.92 = 85,041.23 : x
  2. Step 2: Convert to fraction form
    153,028.58/211,165.92 = 85,041.23/x
  3. Step 3: Cross multiply
    153,028.58x = 211,165.92 × 85,041.23
  4. Step 4: Simplify right side
    153,028.58x = 17,957,808,515.05
  5. Step 5: Solve for x
    x = 17,957,808,515.05/153,028.58
  6. Step 6: Final answer
    x = 117,349.38

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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.