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Finding the Fourth Proportional to 206,429.94, 309,642.03 and 56,670.03

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Solution

The fourth proportional to 206,429.94, 309,642.03 and 56,670.03 is: 85,004.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,429.94 : 309,642.03 = 56,670.03 : x
  2. Step 2: Convert to fraction form
    206,429.94/309,642.03 = 56,670.03/x
  3. Step 3: Cross multiply
    206,429.94x = 309,642.03 × 56,670.03
  4. Step 4: Simplify right side
    206,429.94x = 17,547,423,129.36
  5. Step 5: Solve for x
    x = 17,547,423,129.36/206,429.94
  6. Step 6: Final answer
    x = 85,004.25

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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.