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Finding the Fourth Proportional to 316,864.10, 475,368.15 and 106,523.30

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Solution

The fourth proportional to 316,864.10, 475,368.15 and 106,523.30 is: 159,809.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,864.10 : 475,368.15 = 106,523.30 : x
  2. Step 2: Convert to fraction form
    316,864.10/475,368.15 = 106,523.30/x
  3. Step 3: Cross multiply
    316,864.10x = 475,368.15 × 106,523.30
  4. Step 4: Simplify right side
    316,864.10x = 50,637,784,052.90
  5. Step 5: Solve for x
    x = 50,637,784,052.90/316,864.10
  6. Step 6: Final answer
    x = 159,809.15

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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.