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Finding the Fourth Proportional to 116,643.30, 174,964.95 and 93,315.30

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Solution

The fourth proportional to 116,643.30, 174,964.95 and 93,315.30 is: 139,972.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,643.30 : 174,964.95 = 93,315.30 : x
  2. Step 2: Convert to fraction form
    116,643.30/174,964.95 = 93,315.30/x
  3. Step 3: Cross multiply
    116,643.30x = 174,964.95 × 93,315.30
  4. Step 4: Simplify right side
    116,643.30x = 16,326,906,798.74
  5. Step 5: Solve for x
    x = 16,326,906,798.74/116,643.30
  6. Step 6: Final answer
    x = 139,972.95

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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.