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Finding the Fourth Proportional to 137,316, 205,975.26 and 54,210

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Solution

The fourth proportional to 137,316, 205,975.26 and 54,210 is: 81,315.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,316 : 205,975.26 = 54,210 : x
  2. Step 2: Convert to fraction form
    137,316/205,975.26 = 54,210/x
  3. Step 3: Cross multiply
    137,316x = 205,975.26 × 54,210
  4. Step 4: Simplify right side
    137,316x = 11,165,918,844.60
  5. Step 5: Solve for x
    x = 11,165,918,844.60/137,316
  6. Step 6: Final answer
    x = 81,315.50

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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.