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Finding the Fourth Proportional to 141,616.68, 212,394.16 and 46,824.47

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Solution

The fourth proportional to 141,616.68, 212,394.16 and 46,824.47 is: 70,226.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,616.68 : 212,394.16 = 46,824.47 : x
  2. Step 2: Convert to fraction form
    141,616.68/212,394.16 = 46,824.47/x
  3. Step 3: Cross multiply
    141,616.68x = 212,394.16 × 46,824.47
  4. Step 4: Simplify right side
    141,616.68x = 9,945,243,973.10
  5. Step 5: Solve for x
    x = 9,945,243,973.10/141,616.68
  6. Step 6: Final answer
    x = 70,226.50

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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.