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Finding the Fourth Proportional to 109,970.20, 164,955.30 and 97,504.30

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Solution

The fourth proportional to 109,970.20, 164,955.30 and 97,504.30 is: 146,256.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,970.20 : 164,955.30 = 97,504.30 : x
  2. Step 2: Convert to fraction form
    109,970.20/164,955.30 = 97,504.30/x
  3. Step 3: Cross multiply
    109,970.20x = 164,955.30 × 97,504.30
  4. Step 4: Simplify right side
    109,970.20x = 16,083,851,057.79
  5. Step 5: Solve for x
    x = 16,083,851,057.79/109,970.20
  6. Step 6: Final answer
    x = 146,256.45

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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.