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Finding the Fourth Proportional to 109,828.60, 164,742.90 and 72,430.90

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Solution

The fourth proportional to 109,828.60, 164,742.90 and 72,430.90 is: 108,646.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,828.60 : 164,742.90 = 72,430.90 : x
  2. Step 2: Convert to fraction form
    109,828.60/164,742.90 = 72,430.90/x
  3. Step 3: Cross multiply
    109,828.60x = 164,742.90 × 72,430.90
  4. Step 4: Simplify right side
    109,828.60x = 11,932,476,515.61
  5. Step 5: Solve for x
    x = 11,932,476,515.61/109,828.60
  6. Step 6: Final answer
    x = 108,646.35

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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.