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Finding the Fourth Proportional to 160,798.32, 241,197.84 and 77,634

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Solution

The fourth proportional to 160,798.32, 241,197.84 and 77,634 is: 116,451.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,798.32 : 241,197.84 = 77,634 : x
  2. Step 2: Convert to fraction form
    160,798.32/241,197.84 = 77,634/x
  3. Step 3: Cross multiply
    160,798.32x = 241,197.84 × 77,634
  4. Step 4: Simplify right side
    160,798.32x = 18,725,153,110.56
  5. Step 5: Solve for x
    x = 18,725,153,110.56/160,798.32
  6. Step 6: Final answer
    x = 116,451.17

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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.