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Finding the Fourth Proportional to 209,061.95, 288,358.52 and 128,533.77

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Solution

The fourth proportional to 209,061.95, 288,358.52 and 128,533.77 is: 177,286.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,061.95 : 288,358.52 = 128,533.77 : x
  2. Step 2: Convert to fraction form
    209,061.95/288,358.52 = 128,533.77/x
  3. Step 3: Cross multiply
    209,061.95x = 288,358.52 × 128,533.77
  4. Step 4: Simplify right side
    209,061.95x = 37,063,807,044.55
  5. Step 5: Solve for x
    x = 37,063,807,044.55/209,061.95
  6. Step 6: Final answer
    x = 177,286.24

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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.