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Finding the Fourth Proportional to 160,966.44, 241,495.74 and 77,907.24

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Solution

The fourth proportional to 160,966.44, 241,495.74 and 77,907.24 is: 116,883.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,966.44 : 241,495.74 = 77,907.24 : x
  2. Step 2: Convert to fraction form
    160,966.44/241,495.74 = 77,907.24/x
  3. Step 3: Cross multiply
    160,966.44x = 241,495.74 × 77,907.24
  4. Step 4: Simplify right side
    160,966.44x = 18,814,266,575.16
  5. Step 5: Solve for x
    x = 18,814,266,575.16/160,966.44
  6. Step 6: Final answer
    x = 116,883.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.