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Finding the Fourth Proportional to 289,871.40, 435,023.10 and 149,557.80

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Solution

The fourth proportional to 289,871.40, 435,023.10 and 149,557.80 is: 224,448.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,871.40 : 435,023.10 = 149,557.80 : x
  2. Step 2: Convert to fraction form
    289,871.40/435,023.10 = 149,557.80/x
  3. Step 3: Cross multiply
    289,871.40x = 435,023.10 × 149,557.80
  4. Step 4: Simplify right side
    289,871.40x = 65,061,097,785.18
  5. Step 5: Solve for x
    x = 65,061,097,785.18/289,871.40
  6. Step 6: Final answer
    x = 224,448.14

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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.