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Finding the Fourth Proportional to 124,090, 186,196.50 and 49,208.50

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Solution

The fourth proportional to 124,090, 186,196.50 and 49,208.50 is: 73,837.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,090 : 186,196.50 = 49,208.50 : x
  2. Step 2: Convert to fraction form
    124,090/186,196.50 = 49,208.50/x
  3. Step 3: Cross multiply
    124,090x = 186,196.50 × 49,208.50
  4. Step 4: Simplify right side
    124,090x = 9,162,450,470.25
  5. Step 5: Solve for x
    x = 9,162,450,470.25/124,090
  6. Step 6: Final answer
    x = 73,837.14

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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.