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Finding the Fourth Proportional to 209,461.60, 289,051.32 and 113,966.26

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Solution

The fourth proportional to 209,461.60, 289,051.32 and 113,966.26 is: 157,270.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,461.60 : 289,051.32 = 113,966.26 : x
  2. Step 2: Convert to fraction form
    209,461.60/289,051.32 = 113,966.26/x
  3. Step 3: Cross multiply
    209,461.60x = 289,051.32 × 113,966.26
  4. Step 4: Simplify right side
    209,461.60x = 32,942,097,888.46
  5. Step 5: Solve for x
    x = 32,942,097,888.46/209,461.60
  6. Step 6: Final answer
    x = 157,270.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.