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Finding the Fourth Proportional to 149,068.40, 223,019.40 and 96,580.40

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Solution

The fourth proportional to 149,068.40, 223,019.40 and 96,580.40 is: 144,492.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,068.40 : 223,019.40 = 96,580.40 : x
  2. Step 2: Convert to fraction form
    149,068.40/223,019.40 = 96,580.40/x
  3. Step 3: Cross multiply
    149,068.40x = 223,019.40 × 96,580.40
  4. Step 4: Simplify right side
    149,068.40x = 21,539,302,859.76
  5. Step 5: Solve for x
    x = 21,539,302,859.76/149,068.40
  6. Step 6: Final answer
    x = 144,492.75

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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.