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Finding the Fourth Proportional to 160,978.06, 241,466.88 and 61,138.06

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Solution

The fourth proportional to 160,978.06, 241,466.88 and 61,138.06 is: 91,707.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,978.06 : 241,466.88 = 61,138.06 : x
  2. Step 2: Convert to fraction form
    160,978.06/241,466.88 = 61,138.06/x
  3. Step 3: Cross multiply
    160,978.06x = 241,466.88 × 61,138.06
  4. Step 4: Simplify right side
    160,978.06x = 14,762,816,597.45
  5. Step 5: Solve for x
    x = 14,762,816,597.45/160,978.06
  6. Step 6: Final answer
    x = 91,707.01

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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.