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Finding the Fourth Proportional to 210,434.46, 290,387.79 and 119,812.50

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Solution

The fourth proportional to 210,434.46, 290,387.79 and 119,812.50 is: 165,334.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,434.46 : 290,387.79 = 119,812.50 : x
  2. Step 2: Convert to fraction form
    210,434.46/290,387.79 = 119,812.50/x
  3. Step 3: Cross multiply
    210,434.46x = 290,387.79 × 119,812.50
  4. Step 4: Simplify right side
    210,434.46x = 34,792,087,089.38
  5. Step 5: Solve for x
    x = 34,792,087,089.38/210,434.46
  6. Step 6: Final answer
    x = 165,334.55

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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.