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Finding the Fourth Proportional to 355,959.76, 533,957.40 and 106,618

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Solution

The fourth proportional to 355,959.76, 533,957.40 and 106,618 is: 159,932.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,959.76 : 533,957.40 = 106,618 : x
  2. Step 2: Convert to fraction form
    355,959.76/533,957.40 = 106,618/x
  3. Step 3: Cross multiply
    355,959.76x = 533,957.40 × 106,618
  4. Step 4: Simplify right side
    355,959.76x = 56,929,470,073.20
  5. Step 5: Solve for x
    x = 56,929,470,073.20/355,959.76
  6. Step 6: Final answer
    x = 159,932.32

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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.