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Finding the Fourth Proportional to 109,670.30, 164,505.45 and 83,426.30

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Solution

The fourth proportional to 109,670.30, 164,505.45 and 83,426.30 is: 125,139.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,670.30 : 164,505.45 = 83,426.30 : x
  2. Step 2: Convert to fraction form
    109,670.30/164,505.45 = 83,426.30/x
  3. Step 3: Cross multiply
    109,670.30x = 164,505.45 × 83,426.30
  4. Step 4: Simplify right side
    109,670.30x = 13,724,081,023.34
  5. Step 5: Solve for x
    x = 13,724,081,023.34/109,670.30
  6. Step 6: Final answer
    x = 125,139.45

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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.