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Finding the Fourth Proportional to 302,564.40, 453,155.40 and 178,148.40

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Solution

The fourth proportional to 302,564.40, 453,155.40 and 178,148.40 is: 266,815.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,564.40 : 453,155.40 = 178,148.40 : x
  2. Step 2: Convert to fraction form
    302,564.40/453,155.40 = 178,148.40/x
  3. Step 3: Cross multiply
    302,564.40x = 453,155.40 × 178,148.40
  4. Step 4: Simplify right side
    302,564.40x = 80,728,909,461.36
  5. Step 5: Solve for x
    x = 80,728,909,461.36/302,564.40
  6. Step 6: Final answer
    x = 266,815.62

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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.