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Finding the Fourth Proportional to 117,363, 176,000.31 and 42,464.63

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Solution

The fourth proportional to 117,363, 176,000.31 and 42,464.63 is: 63,680.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,363 : 176,000.31 = 42,464.63 : x
  2. Step 2: Convert to fraction form
    117,363/176,000.31 = 42,464.63/x
  3. Step 3: Cross multiply
    117,363x = 176,000.31 × 42,464.63
  4. Step 4: Simplify right side
    117,363x = 7,473,787,831.71
  5. Step 5: Solve for x
    x = 7,473,787,831.71/117,363
  6. Step 6: Final answer
    x = 63,680.95

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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.