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Finding the Fourth Proportional to 160,963.40, 241,349.10 and 98,678.60

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Solution

The fourth proportional to 160,963.40, 241,349.10 and 98,678.60 is: 147,959.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,963.40 : 241,349.10 = 98,678.60 : x
  2. Step 2: Convert to fraction form
    160,963.40/241,349.10 = 98,678.60/x
  3. Step 3: Cross multiply
    160,963.40x = 241,349.10 × 98,678.60
  4. Step 4: Simplify right side
    160,963.40x = 23,815,991,299.26
  5. Step 5: Solve for x
    x = 23,815,991,299.26/160,963.40
  6. Step 6: Final answer
    x = 147,959.05

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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.