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Finding the Fourth Proportional to 205,041.32, 307,665.71 and 138,341.27

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Solution

The fourth proportional to 205,041.32, 307,665.71 and 138,341.27 is: 207,581.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,041.32 : 307,665.71 = 138,341.27 : x
  2. Step 2: Convert to fraction form
    205,041.32/307,665.71 = 138,341.27/x
  3. Step 3: Cross multiply
    205,041.32x = 307,665.71 × 138,341.27
  4. Step 4: Simplify right side
    205,041.32x = 42,562,862,826.82
  5. Step 5: Solve for x
    x = 42,562,862,826.82/205,041.32
  6. Step 6: Final answer
    x = 207,581.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.