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Finding the Fourth Proportional to 209,572.40, 314,332.61 and 59,825.81

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Solution

The fourth proportional to 209,572.40, 314,332.61 and 59,825.81 is: 89,731.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,572.40 : 314,332.61 = 59,825.81 : x
  2. Step 2: Convert to fraction form
    209,572.40/314,332.61 = 59,825.81/x
  3. Step 3: Cross multiply
    209,572.40x = 314,332.61 × 59,825.81
  4. Step 4: Simplify right side
    209,572.40x = 18,805,201,131.87
  5. Step 5: Solve for x
    x = 18,805,201,131.87/209,572.40
  6. Step 6: Final answer
    x = 89,731.29

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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.