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Finding the Fourth Proportional to 209,592.60, 289,244.18 and 148,448.40

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Solution

The fourth proportional to 209,592.60, 289,244.18 and 148,448.40 is: 204,863.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,592.60 : 289,244.18 = 148,448.40 : x
  2. Step 2: Convert to fraction form
    209,592.60/289,244.18 = 148,448.40/x
  3. Step 3: Cross multiply
    209,592.60x = 289,244.18 × 148,448.40
  4. Step 4: Simplify right side
    209,592.60x = 42,937,835,730.31
  5. Step 5: Solve for x
    x = 42,937,835,730.31/209,592.60
  6. Step 6: Final answer
    x = 204,863.32

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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.