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Finding the Fourth Proportional to 210,332.80, 314,884.80 and 188,214.40

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Solution

The fourth proportional to 210,332.80, 314,884.80 and 188,214.40 is: 281,771.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,332.80 : 314,884.80 = 188,214.40 : x
  2. Step 2: Convert to fraction form
    210,332.80/314,884.80 = 188,214.40/x
  3. Step 3: Cross multiply
    210,332.80x = 314,884.80 × 188,214.40
  4. Step 4: Simplify right side
    210,332.80x = 59,265,853,701.12
  5. Step 5: Solve for x
    x = 59,265,853,701.12/210,332.80
  6. Step 6: Final answer
    x = 281,771.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.