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Finding the Fourth Proportional to 160,544.82, 221,492.37 and 103,987.38

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Solution

The fourth proportional to 160,544.82, 221,492.37 and 103,987.38 is: 143,464.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,544.82 : 221,492.37 = 103,987.38 : x
  2. Step 2: Convert to fraction form
    160,544.82/221,492.37 = 103,987.38/x
  3. Step 3: Cross multiply
    160,544.82x = 221,492.37 × 103,987.38
  4. Step 4: Simplify right side
    160,544.82x = 23,032,411,246.29
  5. Step 5: Solve for x
    x = 23,032,411,246.29/160,544.82
  6. Step 6: Final answer
    x = 143,464.06

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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.