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Finding the Fourth Proportional to 109,347.20, 164,020.80 and 99,670.40

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Solution

The fourth proportional to 109,347.20, 164,020.80 and 99,670.40 is: 149,505.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,347.20 : 164,020.80 = 99,670.40 : x
  2. Step 2: Convert to fraction form
    109,347.20/164,020.80 = 99,670.40/x
  3. Step 3: Cross multiply
    109,347.20x = 164,020.80 × 99,670.40
  4. Step 4: Simplify right side
    109,347.20x = 16,348,018,744.32
  5. Step 5: Solve for x
    x = 16,348,018,744.32/109,347.20
  6. Step 6: Final answer
    x = 149,505.60

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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.