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Finding the Fourth Proportional to 164,095.40, 246,143.10 and 53,287.40

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Solution

The fourth proportional to 164,095.40, 246,143.10 and 53,287.40 is: 79,931.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,095.40 : 246,143.10 = 53,287.40 : x
  2. Step 2: Convert to fraction form
    164,095.40/246,143.10 = 53,287.40/x
  3. Step 3: Cross multiply
    164,095.40x = 246,143.10 × 53,287.40
  4. Step 4: Simplify right side
    164,095.40x = 13,116,325,826.94
  5. Step 5: Solve for x
    x = 13,116,325,826.94/164,095.40
  6. Step 6: Final answer
    x = 79,931.10

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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.