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Finding the Fourth Proportional to 209,559.48, 314,342.48 and 116,655.72

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Solution

The fourth proportional to 209,559.48, 314,342.48 and 116,655.72 is: 174,985.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,559.48 : 314,342.48 = 116,655.72 : x
  2. Step 2: Convert to fraction form
    209,559.48/314,342.48 = 116,655.72/x
  3. Step 3: Cross multiply
    209,559.48x = 314,342.48 × 116,655.72
  4. Step 4: Simplify right side
    209,559.48x = 36,669,848,330.99
  5. Step 5: Solve for x
    x = 36,669,848,330.99/209,559.48
  6. Step 6: Final answer
    x = 174,985.39

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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.