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Finding the Fourth Proportional to 205,032.92, 282,931.38 and 118,994.40

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Solution

The fourth proportional to 205,032.92, 282,931.38 and 118,994.40 is: 164,204.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,032.92 : 282,931.38 = 118,994.40 : x
  2. Step 2: Convert to fraction form
    205,032.92/282,931.38 = 118,994.40/x
  3. Step 3: Cross multiply
    205,032.92x = 282,931.38 × 118,994.40
  4. Step 4: Simplify right side
    205,032.92x = 33,667,249,804.27
  5. Step 5: Solve for x
    x = 33,667,249,804.27/205,032.92
  6. Step 6: Final answer
    x = 164,204.12

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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.