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Finding the Fourth Proportional to 307,225.90, 460,903.65 and 96,885.10

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Solution

The fourth proportional to 307,225.90, 460,903.65 and 96,885.10 is: 145,348.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,225.90 : 460,903.65 = 96,885.10 : x
  2. Step 2: Convert to fraction form
    307,225.90/460,903.65 = 96,885.10/x
  3. Step 3: Cross multiply
    307,225.90x = 460,903.65 × 96,885.10
  4. Step 4: Simplify right side
    307,225.90x = 44,654,696,220.62
  5. Step 5: Solve for x
    x = 44,654,696,220.62/307,225.90
  6. Step 6: Final answer
    x = 145,348.08

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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.