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Finding the Fourth Proportional to 106,914.30, 160,371.45 and 93,090.30

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Solution

The fourth proportional to 106,914.30, 160,371.45 and 93,090.30 is: 139,635.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,914.30 : 160,371.45 = 93,090.30 : x
  2. Step 2: Convert to fraction form
    106,914.30/160,371.45 = 93,090.30/x
  3. Step 3: Cross multiply
    106,914.30x = 160,371.45 × 93,090.30
  4. Step 4: Simplify right side
    106,914.30x = 14,929,026,391.94
  5. Step 5: Solve for x
    x = 14,929,026,391.94/106,914.30
  6. Step 6: Final answer
    x = 139,635.45

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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.