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Finding the Fourth Proportional to 209,354.93, 288,911.17 and 113,862.32

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Solution

The fourth proportional to 209,354.93, 288,911.17 and 113,862.32 is: 157,130.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,354.93 : 288,911.17 = 113,862.32 : x
  2. Step 2: Convert to fraction form
    209,354.93/288,911.17 = 113,862.32/x
  3. Step 3: Cross multiply
    209,354.93x = 288,911.17 × 113,862.32
  4. Step 4: Simplify right side
    209,354.93x = 32,896,096,090.11
  5. Step 5: Solve for x
    x = 32,896,096,090.11/209,354.93
  6. Step 6: Final answer
    x = 157,130.74

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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.