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Finding the Fourth Proportional to 109,970.20, 164,955.30 and 57,482.20

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Solution

The fourth proportional to 109,970.20, 164,955.30 and 57,482.20 is: 86,223.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,970.20 : 164,955.30 = 57,482.20 : x
  2. Step 2: Convert to fraction form
    109,970.20/164,955.30 = 57,482.20/x
  3. Step 3: Cross multiply
    109,970.20x = 164,955.30 × 57,482.20
  4. Step 4: Simplify right side
    109,970.20x = 9,481,993,545.66
  5. Step 5: Solve for x
    x = 9,481,993,545.66/109,970.20
  6. Step 6: Final answer
    x = 86,223.30

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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.