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Finding the Fourth Proportional to 295,076.10, 442,030.95 and 161,717.70

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Solution

The fourth proportional to 295,076.10, 442,030.95 and 161,717.70 is: 242,256.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,076.10 : 442,030.95 = 161,717.70 : x
  2. Step 2: Convert to fraction form
    295,076.10/442,030.95 = 161,717.70/x
  3. Step 3: Cross multiply
    295,076.10x = 442,030.95 × 161,717.70
  4. Step 4: Simplify right side
    295,076.10x = 71,484,228,562.82
  5. Step 5: Solve for x
    x = 71,484,228,562.82/295,076.10
  6. Step 6: Final answer
    x = 242,256.92

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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.