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Finding the Fourth Proportional to 109,349.70, 164,024.55 and 99,672.90

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Solution

The fourth proportional to 109,349.70, 164,024.55 and 99,672.90 is: 149,509.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,349.70 : 164,024.55 = 99,672.90 : x
  2. Step 2: Convert to fraction form
    109,349.70/164,024.55 = 99,672.90/x
  3. Step 3: Cross multiply
    109,349.70x = 164,024.55 × 99,672.90
  4. Step 4: Simplify right side
    109,349.70x = 16,348,802,569.70
  5. Step 5: Solve for x
    x = 16,348,802,569.70/109,349.70
  6. Step 6: Final answer
    x = 149,509.35

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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.