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Finding the Fourth Proportional to 262,242.60, 393,363.90 and 96,095.40

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Solution

The fourth proportional to 262,242.60, 393,363.90 and 96,095.40 is: 144,143.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,242.60 : 393,363.90 = 96,095.40 : x
  2. Step 2: Convert to fraction form
    262,242.60/393,363.90 = 96,095.40/x
  3. Step 3: Cross multiply
    262,242.60x = 393,363.90 × 96,095.40
  4. Step 4: Simplify right side
    262,242.60x = 37,800,461,316.06
  5. Step 5: Solve for x
    x = 37,800,461,316.06/262,242.60
  6. Step 6: Final answer
    x = 144,143.10

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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.