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Finding the Fourth Proportional to 281,235.24, 388,111.32 and 160,388.10

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Solution

The fourth proportional to 281,235.24, 388,111.32 and 160,388.10 is: 221,339.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,235.24 : 388,111.32 = 160,388.10 : x
  2. Step 2: Convert to fraction form
    281,235.24/388,111.32 = 160,388.10/x
  3. Step 3: Cross multiply
    281,235.24x = 388,111.32 × 160,388.10
  4. Step 4: Simplify right side
    281,235.24x = 62,248,437,203.29
  5. Step 5: Solve for x
    x = 62,248,437,203.29/281,235.24
  6. Step 6: Final answer
    x = 221,339.39

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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.