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Finding the Fourth Proportional to 124,148, 186,152.72 and 73,567.68

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Solution

The fourth proportional to 124,148, 186,152.72 and 73,567.68 is: 110,310.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,148 : 186,152.72 = 73,567.68 : x
  2. Step 2: Convert to fraction form
    124,148/186,152.72 = 73,567.68/x
  3. Step 3: Cross multiply
    124,148x = 186,152.72 × 73,567.68
  4. Step 4: Simplify right side
    124,148x = 13,694,823,736.09
  5. Step 5: Solve for x
    x = 13,694,823,736.09/124,148
  6. Step 6: Final answer
    x = 110,310.47

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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.