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Finding the Fourth Proportional to 207,854.87, 286,835.69 and 117,209.18

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Solution

The fourth proportional to 207,854.87, 286,835.69 and 117,209.18 is: 161,746.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,854.87 : 286,835.69 = 117,209.18 : x
  2. Step 2: Convert to fraction form
    207,854.87/286,835.69 = 117,209.18/x
  3. Step 3: Cross multiply
    207,854.87x = 286,835.69 × 117,209.18
  4. Step 4: Simplify right side
    207,854.87x = 33,619,773,999.41
  5. Step 5: Solve for x
    x = 33,619,773,999.41/207,854.87
  6. Step 6: Final answer
    x = 161,746.39

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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.