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Finding the Fourth Proportional to 152,812, 229,310.16 and 65,260

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Solution

The fourth proportional to 152,812, 229,310.16 and 65,260 is: 97,929.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,812 : 229,310.16 = 65,260 : x
  2. Step 2: Convert to fraction form
    152,812/229,310.16 = 65,260/x
  3. Step 3: Cross multiply
    152,812x = 229,310.16 × 65,260
  4. Step 4: Simplify right side
    152,812x = 14,964,781,041.60
  5. Step 5: Solve for x
    x = 14,964,781,041.60/152,812
  6. Step 6: Final answer
    x = 97,929.36

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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.