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Finding the Fourth Proportional to 205,783.53, 308,830.81 and 87,538.11

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Solution

The fourth proportional to 205,783.53, 308,830.81 and 87,538.11 is: 131,373.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,783.53 : 308,830.81 = 87,538.11 : x
  2. Step 2: Convert to fraction form
    205,783.53/308,830.81 = 87,538.11/x
  3. Step 3: Cross multiply
    205,783.53x = 308,830.81 × 87,538.11
  4. Step 4: Simplify right side
    205,783.53x = 27,034,465,417.17
  5. Step 5: Solve for x
    x = 27,034,465,417.17/205,783.53
  6. Step 6: Final answer
    x = 131,373.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.