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Finding the Fourth Proportional to 209,030.70, 288,462.12 and 113,537.46

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Solution

The fourth proportional to 209,030.70, 288,462.12 and 113,537.46 is: 156,681.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,030.70 : 288,462.12 = 113,537.46 : x
  2. Step 2: Convert to fraction form
    209,030.70/288,462.12 = 113,537.46/x
  3. Step 3: Cross multiply
    209,030.70x = 288,462.12 × 113,537.46
  4. Step 4: Simplify right side
    209,030.70x = 32,751,256,411.02
  5. Step 5: Solve for x
    x = 32,751,256,411.02/209,030.70
  6. Step 6: Final answer
    x = 156,681.56

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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.