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Finding the Fourth Proportional to 117,678.73, 176,462.64 and 42,746.05

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Solution

The fourth proportional to 117,678.73, 176,462.64 and 42,746.05 is: 64,098.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,678.73 : 176,462.64 = 42,746.05 : x
  2. Step 2: Convert to fraction form
    117,678.73/176,462.64 = 42,746.05/x
  3. Step 3: Cross multiply
    117,678.73x = 176,462.64 × 42,746.05
  4. Step 4: Simplify right side
    117,678.73x = 7,543,080,832.57
  5. Step 5: Solve for x
    x = 7,543,080,832.57/117,678.73
  6. Step 6: Final answer
    x = 64,098.93

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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.