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Finding the Fourth Proportional to 109,332.84, 164,022.28 and 61,970.62

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Solution

The fourth proportional to 109,332.84, 164,022.28 and 61,970.62 is: 92,968.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,332.84 : 164,022.28 = 61,970.62 : x
  2. Step 2: Convert to fraction form
    109,332.84/164,022.28 = 61,970.62/x
  3. Step 3: Cross multiply
    109,332.84x = 164,022.28 × 61,970.62
  4. Step 4: Simplify right side
    109,332.84x = 10,164,562,385.41
  5. Step 5: Solve for x
    x = 10,164,562,385.41/109,332.84
  6. Step 6: Final answer
    x = 92,968.98

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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.