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Finding the Fourth Proportional to 209,985.30, 314,977.95 and 157,497.30

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Solution

The fourth proportional to 209,985.30, 314,977.95 and 157,497.30 is: 236,245.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,985.30 : 314,977.95 = 157,497.30 : x
  2. Step 2: Convert to fraction form
    209,985.30/314,977.95 = 157,497.30/x
  3. Step 3: Cross multiply
    209,985.30x = 314,977.95 × 157,497.30
  4. Step 4: Simplify right side
    209,985.30x = 49,608,176,684.54
  5. Step 5: Solve for x
    x = 49,608,176,684.54/209,985.30
  6. Step 6: Final answer
    x = 236,245.95

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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.