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Finding the Fourth Proportional to 229,909.53, 317,095.40 and 149,363

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Solution

The fourth proportional to 229,909.53, 317,095.40 and 149,363 is: 206,004.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,909.53 : 317,095.40 = 149,363 : x
  2. Step 2: Convert to fraction form
    229,909.53/317,095.40 = 149,363/x
  3. Step 3: Cross multiply
    229,909.53x = 317,095.40 × 149,363
  4. Step 4: Simplify right side
    229,909.53x = 47,362,320,230.20
  5. Step 5: Solve for x
    x = 47,362,320,230.20/229,909.53
  6. Step 6: Final answer
    x = 206,004.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.