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Finding the Fourth Proportional to 209,953.64, 314,984.75 and 60,204.89

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Solution

The fourth proportional to 209,953.64, 314,984.75 and 60,204.89 is: 90,322.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,953.64 : 314,984.75 = 60,204.89 : x
  2. Step 2: Convert to fraction form
    209,953.64/314,984.75 = 60,204.89/x
  3. Step 3: Cross multiply
    209,953.64x = 314,984.75 × 60,204.89
  4. Step 4: Simplify right side
    209,953.64x = 18,963,620,349.48
  5. Step 5: Solve for x
    x = 18,963,620,349.48/209,953.64
  6. Step 6: Final answer
    x = 90,322.90

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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.