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Finding the Fourth Proportional to 106,816.89, 160,225.88 and 27,931.29

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Solution

The fourth proportional to 106,816.89, 160,225.88 and 27,931.29 is: 41,897.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,816.89 : 160,225.88 = 27,931.29 : x
  2. Step 2: Convert to fraction form
    106,816.89/160,225.88 = 27,931.29/x
  3. Step 3: Cross multiply
    106,816.89x = 160,225.88 × 27,931.29
  4. Step 4: Simplify right side
    106,816.89x = 4,475,315,519.79
  5. Step 5: Solve for x
    x = 4,475,315,519.79/106,816.89
  6. Step 6: Final answer
    x = 41,897.08

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1.5x scale

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.