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Finding the Fourth Proportional to 188,438.80, 260,044.32 and 102,397.36

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Solution

The fourth proportional to 188,438.80, 260,044.32 and 102,397.36 is: 141,307.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,438.80 : 260,044.32 = 102,397.36 : x
  2. Step 2: Convert to fraction form
    188,438.80/260,044.32 = 102,397.36/x
  3. Step 3: Cross multiply
    188,438.80x = 260,044.32 × 102,397.36
  4. Step 4: Simplify right side
    188,438.80x = 26,627,851,851.00
  5. Step 5: Solve for x
    x = 26,627,851,851.00/188,438.80
  6. Step 6: Final answer
    x = 141,307.69

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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.